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221152240000 = 27549728499
BaseRepresentation
bin1100110111110110110…
…0110110000110000000
3210010211110221210212201
43031331230312012000
512110404433140000
6245332420002544
721656234011126
oct3157554660600
9703743853781
10221152240000
118587674618a
1236a3b530454
1317b15638613
14a9bd423916
155b4544496a
hex337db36180

221152240000 has 160 divisors (see below), whose sum is σ = 556239915000. Its totient is φ = 87545856000.

The previous prime is 221152239953. The next prime is 221152240027. The reversal of 221152240000 is 42251122.

221152240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 221152240000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7745751 + ... + 7774249.

Almost surely, 2221152240000 is an apocalyptic number.

221152240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221152240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278119957500).

221152240000 is an abundant number, since it is smaller than the sum of its proper divisors (335087675000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221152240000 is an frugal number, since it uses more digits than its factorization.

221152240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28630 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 221152240000 its reverse (42251122), we get a palindrome (221194491122).

It can be divided in two parts, 2211522 and 40000, that added together give a palindrome (2251522).

The spelling of 221152240000 in words is "two hundred twenty-one billion, one hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 125 128 160 194 200 250 320 388 400 485 500 625 640 776 800 970 1000 1250 1552 1600 1940 2000 2425 2500 3104 3200 3880 4000 4850 5000 6208 7760 8000 9700 10000 12125 12416 15520 16000 19400 20000 24250 28499 31040 38800 40000 48500 56998 60625 62080 77600 80000 97000 113996 121250 142495 155200 194000 227992 242500 284990 310400 388000 455984 485000 569980 712475 776000 911968 970000 1139960 1424950 1552000 1823936 1940000 2279920 2764403 2849900 3562375 3647872 3880000 4559840 5528806 5699800 7124750 7760000 9119680 11057612 11399600 13822015 14249500 17811875 18239360 22115224 22799200 27644030 28499000 35623750 44230448 45598400 55288060 56998000 69110075 71247500 88460896 91196800 110576120 113996000 138220150 142495000 176921792 221152240 227992000 276440300 284990000 345550375 353843584 442304480 455984000 552880600 569980000 691100750 884608960 1105761200 1139960000 1382201500 1727751875 1769217920 2211522400 2279920000 2764403000 3455503750 4423044800 5528806000 6911007500 8846089600 11057612000 13822015000 22115224000 27644030000 44230448000 55288060000 110576120000 221152240000