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151150224225 = 352711132154871
BaseRepresentation
bin1000110011000101000…
…0010110001101100001
3112110010220210221212210
42030301100112031201
54434023424133400
6153234253512333
713630433464440
oct2146120261541
9473126727783
10151150224225
11591143a7690
1225363aa26a9
131133a966600
14745c444d57
153de9a86950
hex2331416361

151150224225 has 144 divisors (see below), whose sum is σ = 337378120704. Its totient is φ = 57983328000.

The previous prime is 151150224191. The next prime is 151150224307. The reversal of 151150224225 is 522422051151.

It is not a de Polignac number, because 151150224225 - 210 = 151150223201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 151150224192 and 151150224201.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 898540 + ... + 1053410.

It is an arithmetic number, because the mean of its divisors is an integer number (2342903616).

Almost surely, 2151150224225 is an apocalyptic number.

151150224225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151150224225 is an abundant number, since it is smaller than the sum of its proper divisors (186227896479).

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

151150224225 is a wasteful number, since it uses less digits than its factorization.

151150224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154928 (or 154910 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 151150224225 its reverse (522422051151), we get a palindrome (673572275376).

The spelling of 151150224225 in words is "one hundred fifty-one billion, one hundred fifty million, two hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 169 175 195 231 273 275 325 385 429 455 507 525 715 825 845 975 1001 1155 1183 1365 1859 1925 2145 2275 2535 3003 3549 3575 4225 5005 5577 5775 5915 6825 9295 10725 12675 13013 15015 17745 25025 27885 29575 39039 46475 65065 75075 88725 139425 154871 195195 325325 464613 774355 975975 1084097 1703581 2013323 2323065 3252291 3871775 5110743 5420485 6039969 8517905 10066615 11615325 11925067 14093261 16261455 22146553 25553715 26173199 27102425 30199845 35775201 42279783 42589525 50333075 59625335 66439659 70466305 78519597 81307275 110732765 127768575 130865995 150999225 155025871 178876005 183212393 211398915 287905189 298126675 332198295 352331525 392597985 465077613 549637179 553663825 654329975 775129355 863715567 894380025 916061965 1056994575 1439525945 1660991475 1962989925 2015336323 2325388065 2748185895 3875646775 4318577835 4580309825 6046008969 7197629725 10076681615 11626940325 13740929475 21592889175 30230044845 50383408075 151150224225