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225544512 = 2636789197
BaseRepresentation
bin11010111000110…
…00100101000000
3120201101211220110
431130120211000
5430214411022
634214111320
75406045114
oct1534304500
9521354813
10225544512
1110634aa26
126364b540
133795c2bb
1421d51744
1514c0300c
hexd718940

225544512 has 112 divisors (see below), whose sum is σ = 615574080. Its totient is φ = 72855552.

The previous prime is 225544483. The next prime is 225544519. The reversal of 225544512 is 215445522.

It is a self number, because there is not a number n which added to its sum of digits gives 225544512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225544519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144798 + ... + 1144994.

Almost surely, 2225544512 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 225544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307787040).

225544512 is an abundant number, since it is smaller than the sum of its proper divisors (390029568).

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

225544512 is a wasteful number, since it uses less digits than its factorization.

225544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its digits is 16000, while the sum is 30.

The square root of 225544512 is about 15018.1394320335. The cubic root of 225544512 is about 608.7104460693.

The spelling of 225544512 in words is "two hundred twenty-five million, five hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 89 96 134 178 192 197 201 267 268 356 394 402 534 536 591 712 788 804 1068 1072 1182 1424 1576 1608 2136 2144 2364 2848 3152 3216 4272 4288 4728 5696 5963 6304 6432 8544 9456 11926 12608 12864 13199 17088 17533 17889 18912 23852 26398 35066 35778 37824 39597 47704 52599 52796 70132 71556 79194 95408 105198 105592 140264 143112 158388 190816 210396 211184 280528 286224 316776 381632 420792 422368 561056 572448 633552 841584 844736 1122112 1144896 1174711 1267104 1683168 2349422 2534208 3366336 3524133 4698844 7048266 9397688 14096532 18795376 28193064 37590752 56386128 75181504 112772256 225544512