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226272901248 = 273421824161
BaseRepresentation
bin1101001010111011101…
…0100111100010000000
3210122001100101100120000
43102232322213202000
512201401330314443
6251540501320000
722230152632512
oct3225672474200
9718040340500
10226272901248
1187a64176829
1237a2a406000
13184504930a4
14ad47533bb2
155d44c828d3
hex34aeea7880

226272901248 has 80 divisors (see below), whose sum is σ = 673384518510. Its totient is φ = 75424296960.

The previous prime is 226272901213. The next prime is 226272901307. The reversal of 226272901248 is 842109272622.

226272901248 is a `hidden beast` number, since 2 + 2 + 627 + 2 + 9 + 0 + 12 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 181128550464 + 45144350784 = 425592^2 + 212472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10901713 + ... + 10922448.

Almost surely, 2226272901248 is an apocalyptic number.

It is an amenable number.

226272901248 is an abundant number, since it is smaller than the sum of its proper divisors (447111617262).

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

226272901248 is an equidigital number, since it uses as much as digits as its factorization.

226272901248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21824187 (or 21824166 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 226272901248 in words is "two hundred twenty-six billion, two hundred seventy-two million, nine hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 21824161 43648322 65472483 87296644 130944966 174593288 196417449 261889932 349186576 392834898 523779864 589252347 698373152 785669796 1047559728 1178504694 1396746304 1571339592 1767757041 2095119456 2357009388 2793492608 3142679184 3535514082 4190238912 4714018776 6285358368 7071028164 8380477824 9428037552 12570716736 14142056328 18856075104 25141433472 28284112656 37712150208 56568225312 75424300416 113136450624 226272901248