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225032634 = 23329143699
BaseRepresentation
bin11010110100110…
…11100110111010
3120200102211202000
431122123212322
5430102021014
634155121430
75401513551
oct1532334672
9520384660
10225032634
11106030392
1263443276
1337810308
1421c5ad98
1514b51509
hexd69b9ba

225032634 has 32 divisors (see below), whose sum is σ = 517320000. Its totient is φ = 72423792.

The previous prime is 225032629. The next prime is 225032657. The reversal of 225032634 is 436230522.

225032634 is a `hidden beast` number, since 2 + 25 + 0 + 3 + 2 + 634 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225032598 and 225032607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70284 + ... + 73415.

It is an arithmetic number, because the mean of its divisors is an integer number (16166250).

Almost surely, 2225032634 is an apocalyptic number.

225032634 is an abundant number, since it is smaller than the sum of its proper divisors (292287366).

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

225032634 is a wasteful number, since it uses less digits than its factorization.

225032634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143739 (or 143733 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225032634 is about 15001.0877605592. The cubic root of 225032634 is about 608.2496035550.

The spelling of 225032634 in words is "two hundred twenty-five million, thirty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 143699 287398 431097 862194 1293291 2586582 3879873 4167271 7759746 8334542 12501813 25003626 37505439 75010878 112516317 225032634