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225317376 = 29351811
BaseRepresentation
bin11010110111000…
…01001000000000
3120200222022100000
431123201020000
5430140124001
634205200000
75404110654
oct1533411000
9520868300
10225317376
11106205309
1263560000
13378acabb
1421cd2a64
1514baaa86
hexd6e1200

225317376 has 120 divisors (see below), whose sum is σ = 674738064. Its totient is φ = 75064320.

The previous prime is 225317357. The next prime is 225317399. The reversal of 225317376 is 673713522.

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 225317376.

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, 123511 + ... + 125321.

Almost surely, 2225317376 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 225317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337369032).

225317376 is an abundant number, since it is smaller than the sum of its proper divisors (449420688).

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

225317376 is an frugal number, since it uses more digits than its factorization.

225317376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1816 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 225317376 is about 15010.5754719797. The cubic root of 225317376 is about 608.5060422283.

The spelling of 225317376 in words is "two hundred twenty-five million, three hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1811 1944 2304 2592 3456 3622 3888 4608 5184 5433 6912 7244 7776 10368 10866 13824 14488 15552 16299 20736 21732 28976 31104 32598 41472 43464 48897 57952 62208 65196 86928 97794 115904 124416 130392 146691 173856 195588 231808 260784 293382 347712 391176 440073 463616 521568 586764 695424 782352 880146 927232 1043136 1173528 1390848 1564704 1760292 2086272 2347056 2781696 3129408 3520584 4172544 4694112 6258816 7041168 8345088 9388224 12517632 14082336 18776448 25035264 28164672 37552896 56329344 75105792 112658688 225317376