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221220201200 = 24522944343049
BaseRepresentation
bin1100111000000111000…
…0000110001011110000
3210011000012211121010012
43032001300012023300
512111024332414300
6245343244354052
721661020453545
oct3160160061360
9704005747105
10221220201200
1185901044469
1236a5a245928
1317b2674214b
14a9c8474bcc
155b4b3bb435
hex3381c062f0

221220201200 has 120 divisors (see below), whose sum is σ = 551062386000. Its totient is φ = 85241927680.

The previous prime is 221220201197. The next prime is 221220201203. The reversal of 221220201200 is 2102022122.

It is an interprime number because it is at equal distance from previous prime (221220201197) and next prime (221220201203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220201203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5117276 + ... + 5160324.

It is an arithmetic number, because the mean of its divisors is an integer number (4592186550).

Almost surely, 2221220201200 is an apocalyptic number.

221220201200 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 221220201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275531193000).

221220201200 is an abundant number, since it is smaller than the sum of its proper divisors (329842184800).

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

221220201200 is a wasteful number, since it uses less digits than its factorization.

221220201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43539 (or 43528 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221220201200 its reverse (2102022122), we get a palindrome (223322223322).

The spelling of 221220201200 in words is "two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 443 464 580 725 886 1160 1450 1772 2215 2320 2900 3544 4430 5800 7088 8860 11075 11600 12847 17720 22150 25694 35440 43049 44300 51388 64235 86098 88600 102776 128470 172196 177200 205552 215245 256940 321175 344392 430490 513880 642350 688784 860980 1027760 1076225 1248421 1284700 1721960 2152450 2496842 2569400 3443920 4304900 4993684 5138800 6242105 8609800 9987368 12484210 17219600 19070707 19974736 24968420 31210525 38141414 49936840 62421050 76282828 95353535 99873680 124842100 152565656 190707070 249684200 305131312 381414140 476767675 499368400 553050503 762828280 953535350 1106101006 1525656560 1907070700 2212202012 2765252515 3814141400 4424404024 5530505030 7628282800 8848808048 11061010060 13826262575 22122020120 27652525150 44244040240 55305050300 110610100600 221220201200