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15220156900 = 2252134732
BaseRepresentation
bin11100010110011000…
…10010100111100100
31110021201102002011211
432023030102213210
5222132330010100
610554140441204
71046112125164
oct161314224744
943251362154
1015220156900
116500422173
122b49249204
131587340000
14a455725a4
155e13011ba
hex38b3129e4

15220156900 has 135 divisors (see below), whose sum is σ = 36276806391. Its totient is φ = 5542767360.

The previous prime is 15220156841. The next prime is 15220156927. The reversal of 15220156900 is 965102251.

The square root of 15220156900 is 123370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 6550312356 + 8669844544 = 80934^2 + 93112^2 .

It is a super-2 number, since 2×152201569002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 208495264 + ... + 208495336.

Almost surely, 215220156900 is an apocalyptic number.

15220156900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15220156900 is the 123370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15220156900

15220156900 is an abundant number, since it is smaller than the sum of its proper divisors (21056649491).

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

15220156900 is an frugal number, since it uses more digits than its factorization.

15220156900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 15220156900 in words is "fifteen billion, two hundred twenty million, one hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 73 100 130 146 169 260 292 325 338 365 650 676 730 845 949 1300 1460 1690 1825 1898 2197 3380 3650 3796 4225 4394 4745 5329 7300 8450 8788 9490 10658 10985 12337 16900 18980 21316 21970 23725 24674 26645 28561 43940 47450 49348 53290 54925 57122 61685 69277 94900 106580 109850 114244 123370 133225 138554 142805 160381 219700 246740 266450 277108 285610 308425 320762 346385 532900 571220 616850 641524 692770 714025 801905 900601 1233700 1385540 1428050 1603810 1731925 1801202 2084953 2856100 3207620 3463850 3602404 4009525 4169906 4503005 6927700 8019050 8339812 9006010 10424765 11707813 16038100 18012020 20849530 22515025 23415626 41699060 45030050 46831252 52123825 58539065 90060100 104247650 117078130 152201569 208495300 234156260 292695325 304403138 585390650 608806276 761007845 1170781300 1522015690 3044031380 3805039225 7610078450 15220156900