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225106271520 = 25351336074723
BaseRepresentation
bin1101000110100101100…
…0010001110100100000
3210112001001011102102120
43101221120101310200
512142004201142040
6251225024344240
722156225510614
oct3215130216440
9715031142376
10225106271520
1187515692629
1237763775080
13182c5883940
14ac7660d344
155cc76397d0
hex3469611d20

225106271520 has 96 divisors (see below), whose sum is σ = 763629757632. Its totient is φ = 55410772992.

The previous prime is 225106271503. The next prime is 225106271543. The reversal of 225106271520 is 25172601522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2251062715202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18031122 + ... + 18043601.

It is an arithmetic number, because the mean of its divisors is an integer number (7954476642).

Almost surely, 2225106271520 is an apocalyptic number.

225106271520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225106271520 is an abundant number, since it is smaller than the sum of its proper divisors (538523486112).

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

225106271520 is a wasteful number, since it uses less digits than its factorization.

225106271520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36074754 (or 36074746 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 225106271520 in words is "two hundred twenty-five billion, one hundred six million, two hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 36074723 72149446 108224169 144298892 180373615 216448338 288597784 360747230 432896676 468971399 541120845 577195568 721494460 865793352 937942798 1082241690 1154391136 1406914197 1442988920 1731586704 1875885596 2164483380 2344856995 2813828394 2885977840 3463173408 3751771192 4328966760 4689713990 5627656788 5771955680 7034570985 7503542384 8657933520 9379427980 11255313576 14069141970 15007084768 17315867040 18758855960 22510627152 28138283940 37517711920 45021254304 56276567880 75035423840 112553135760 225106271520