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225593136 = 24324336433
BaseRepresentation
bin11010111001001…
…00011100110000
3120201111022121100
431130210130300
5430222440021
634215124400
75406336636
oct1534443460
9521438540
10225593136
1110638350a
1263673700
1337978482
1421d65356
1514c12626
hexd724730

225593136 has 60 divisors (see below), whose sum is σ = 646047688. Its totient is φ = 73446912.

The previous prime is 225593113. The next prime is 225593149. The reversal of 225593136 is 631395522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225593136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12025 + ... + 24408.

Almost surely, 2225593136 is an apocalyptic number.

It is an amenable number.

225593136 is an abundant number, since it is smaller than the sum of its proper divisors (420454552).

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

225593136 is a wasteful number, since it uses less digits than its factorization.

225593136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36490 (or 36481 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 225593136 is about 15019.7581871347. The cubic root of 225593136 is about 608.7541858612.

The spelling of 225593136 in words is "two hundred twenty-five million, five hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 36433 72866 109299 145732 218598 291464 327897 437196 582928 655794 874392 1311588 1566619 1748784 2623176 3133238 4699857 5246352 6266476 9399714 12532952 14099571 18799428 25065904 28199142 37598856 56398284 75197712 112796568 225593136