Search a number
-
+
225797376 = 283797433
BaseRepresentation
bin11010111010101…
…10010100000000
3120201212200202210
431131112110000
5430301004001
634223342120
75411150250
oct1535262400
9521780683
10225797376
11106502a02
1263751940
1337a1a41c
1421db9960
1514c52dd6
hexd756500

225797376 has 144 divisors (see below), whose sum is σ = 695483264. Its totient is φ = 63700992.

The previous prime is 225797333. The next prime is 225797389. The reversal of 225797376 is 673797522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521256 + ... + 521688.

Almost surely, 2225797376 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 225797376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347741632).

225797376 is an abundant number, since it is smaller than the sum of its proper divisors (469685888).

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

225797376 is an equidigital number, since it uses as much as digits as its factorization.

225797376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 48.

The square root of 225797376 is about 15026.5556931720. Note that the first 3 decimals coincide. The cubic root of 225797376 is about 608.9378416449.

The spelling of 225797376 in words is "two hundred twenty-five million, seven hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 433 448 582 672 679 768 776 866 896 1164 1299 1344 1358 1552 1732 1792 2037 2328 2598 2688 2716 3031 3104 3464 4074 4656 5196 5376 5432 6062 6208 6928 8148 9093 9312 10392 10864 12124 12416 13856 16296 18186 18624 20784 21728 24248 24832 27712 32592 36372 37248 41568 42001 43456 48496 55424 65184 72744 74496 83136 84002 86912 96992 110848 126003 130368 145488 166272 168004 173824 193984 252006 260736 290976 294007 332544 336008 387968 504012 521472 581952 588014 672016 775936 882021 1008024 1163904 1176028 1344032 1764042 2016048 2327808 2352056 2688064 3528084 4032096 4704112 5376128 7056168 8064192 9408224 10752256 14112336 16128384 18816448 28224672 32256768 37632896 56449344 75265792 112898688 225797376