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207138825 = 32524611997
BaseRepresentation
bin11000101100010…
…11000000001001
3112102202202001100
430112023000021
5411011420300
632315412013
75063436165
oct1426130011
9472682040
10207138825
11a6a19513
1259454009
1333bb676a
141d71dca5
15132b9700
hexc58b009

207138825 has 36 divisors (see below), whose sum is σ = 371999628. Its totient is φ = 110179200.

The previous prime is 207138809. The next prime is 207138853. The reversal of 207138825 is 528831702.

It can be written as a sum of positive squares in 6 ways, for example, as 56070144 + 151068681 = 7488^2 + 12291^2 .

It is not a de Polignac number, because 207138825 - 24 = 207138809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 207138825.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102727 + ... + 104723.

It is an arithmetic number, because the mean of its divisors is an integer number (10333323).

Almost surely, 2207138825 is an apocalyptic number.

207138825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

207138825 is a deficient number, since it is larger than the sum of its proper divisors (164860803).

207138825 is a wasteful number, since it uses less digits than its factorization.

207138825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 207138825 is about 14392.3182635738. The cubic root of 207138825 is about 591.6803814406.

The spelling of 207138825 in words is "two hundred seven million, one hundred thirty-eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 461 1383 1997 2305 4149 5991 6915 9985 11525 17973 20745 29955 34575 49925 89865 103725 149775 449325 920617 2761851 4603085 8285553 13809255 23015425 41427765 69046275 207138825