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238854088559025 = 3252719214332
BaseRepresentation
bin110110010011110010001101…
…000110100000100110110001
31011022201020011010000110010100
4312103302031012200212301
5222301341133132342100
62204000015314423013
7101211431660006232
oct6623621506404661
91138636133013110
10238854088559025
116a1194a5095285
1222957632b91a69
13a337ac8099154
1442da85730d089
151c93222880400
hexd93c8d1a09b1

238854088559025 has 81 divisors (see below), whose sum is σ = 428709221205889. Its totient is φ = 127122899226240.

The previous prime is 238854088558997. The next prime is 238854088559027. The reversal of 238854088559025 is 520955880458832.

The square root of 238854088559025 is 15454905.

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

238854088559025 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 5 + 4 + 0 + 8 + 8 + 5 + 590 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11134761460641 + 227719327098384 = 3336879^2 + 15090372^2 .

It is not a de Polignac number, because 238854088559025 - 29 = 238854088558513 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (238854088559027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 166681149709 + ... + 166681151141.

Almost surely, 2238854088559025 is an apocalyptic number.

238854088559025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

238854088559025 is the 15454905-th square number.

238854088559025 is the 7727453-rd centered octagonal number.

It is an amenable number.

238854088559025 is a deficient number, since it is larger than the sum of its proper divisors (189855132646864).

238854088559025 is an frugal number, since it uses more digits than its factorization.

238854088559025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1105920000, while the sum is 72.

The spelling of 238854088559025 in words is "two hundred thirty-eight trillion, eight hundred fifty-four billion, eighty-eight million, five hundred fifty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 719 1433 2157 3595 4299 6471 7165 10785 12897 17975 21495 32355 35825 53925 64485 107475 161775 322425 516961 1030327 1550883 2053489 2584805 3090981 4652649 5151635 6160467 7754415 9272943 10267445 12924025 15454905 18481401 23263245 25758175 30802335 38772075 46364715 51337225 77274525 92407005 116316225 154011675 231823575 462035025 740805113 1476458591 2222415339 3704025565 4429375773 6667246017 7382292955 11112076695 13288127319 18520127825 22146878865 33336230085 36911464775 55560383475 66440636595 110734394325 166681150425 332203182975 1061573726929 3184721180787 5307868634645 9554163542361 15923605903935 26539343173225 47770817711805 79618029519675 238854088559025