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225575616 = 2637223977
BaseRepresentation
bin11010111001000…
…00001011000000
3120201110102120110
431130200023000
5430221404431
634214511320
75406234600
oct1534401300
9521412513
10225575616
11106371332
1263665540
13379704c6
1421d5cc00
1514c0c346
hexd7202c0

225575616 has 84 divisors (see below), whose sum is σ = 694306968. Its totient is φ = 64447488.

The previous prime is 225575593. The next prime is 225575629. The reversal of 225575616 is 616575522.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2581 + ... + 21396.

Almost surely, 2225575616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347153484).

225575616 is an abundant number, since it is smaller than the sum of its proper divisors (468731352).

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

225575616 is a wasteful number, since it uses less digits than its factorization.

225575616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24006 (or 23989 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 225575616 is about 15019.1749440507. The cubic root of 225575616 is about 608.7384264434.

The spelling of 225575616 in words is "two hundred twenty-five million, five hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 23977 47954 71931 95908 143862 167839 191816 287724 335678 383632 503517 575448 671356 767264 1007034 1150896 1174873 1342712 1534528 2014068 2301792 2349746 2685424 3524619 4028136 4603584 4699492 5370848 7049238 8056272 9398984 10741696 14098476 16112544 18797968 28196952 32225088 37595936 56393904 75191872 112787808 225575616