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221201201220 = 223531517922963
BaseRepresentation
bin1100111000000010011…
…1100111100001000100
3210010221220002022001020
43032000213213201010
512111010001414340
6245341325231140
721660400121166
oct3160047474104
9703856068036
10221201201220
11858a13474aa
1236a53a024b0
1317b2281bc5c
14a9c5b2a936
155b498b69d0
hex33809e7844

221201201220 has 96 divisors (see below), whose sum is σ = 639494123520. Its totient is φ = 57070673280.

The previous prime is 221201201219. The next prime is 221201201227. The reversal of 221201201220 is 22102102122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221201201220.

It is not an unprimeable number, because it can be changed into a prime (221201201227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9621459 + ... + 9644421.

It is an arithmetic number, because the mean of its divisors is an integer number (6661397120).

Almost surely, 2221201201220 is an apocalyptic number.

221201201220 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 221201201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319747061760).

221201201220 is an abundant number, since it is smaller than the sum of its proper divisors (418292922300).

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

221201201220 is a wasteful number, since it uses less digits than its factorization.

221201201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28185 (or 28183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221201201220 its reverse (22102102122), we get a palindrome (243303303342).

The spelling of 221201201220 in words is "two hundred twenty-one billion, two hundred one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 5179 10358 15537 20716 22963 25895 31074 45926 51790 62148 68889 77685 91852 103580 114815 137778 155370 160549 229630 275556 310740 321098 344445 459260 481647 642196 688890 711853 802745 963294 1377780 1423706 1605490 1926588 2135559 2408235 2847412 3210980 3559265 4271118 4816470 7118530 8542236 9632940 10677795 14237060 21355590 42711180 118925377 237850754 356776131 475701508 594626885 713552262 1189253770 1427104524 1783880655 2378507540 3567761310 3686686687 7135522620 7373373374 11060060061 14746746748 18433433435 22120120122 36866866870 44240240244 55300300305 73733733740 110600600610 221201201220