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225323644 = 227132172801
BaseRepresentation
bin11010110111000…
…10101001111100
3120200222121221011
431123202221330
5430140324034
634205245004
75404135150
oct1533425174
9520877834
10225323644
11106209a97
1263563764
13378b2900
1421cd5060
1514bac864
hexd6e2a7c

225323644 has 72 divisors (see below), whose sum is σ = 516868128. Its totient is φ = 83865600.

The previous prime is 225323621. The next prime is 225323647. The reversal of 225323644 is 446323522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225323647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79044 + ... + 81844.

It is an arithmetic number, because the mean of its divisors is an integer number (7178724).

Almost surely, 2225323644 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 225323644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258434064).

225323644 is an abundant number, since it is smaller than the sum of its proper divisors (291544484).

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

225323644 is a wasteful number, since it uses less digits than its factorization.

225323644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2840 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The square root of 225323644 is about 15010.7842566603. The cubic root of 225323644 is about 608.5116847588.

The spelling of 225323644 in words is "two hundred twenty-five million, three hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 169 182 221 238 338 364 442 476 676 884 1183 1547 2366 2801 2873 3094 4732 5602 5746 6188 11204 11492 19607 20111 36413 39214 40222 47617 72826 78428 80444 95234 145652 190468 254891 333319 473369 509782 619021 666638 946738 1019564 1238042 1333276 1893476 2476084 3313583 4333147 6627166 8047273 8666294 13254332 16094546 17332588 32189092 56330911 112661822 225323644