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225796842 = 23323296269
BaseRepresentation
bin11010111010101…
…10001011101010
3120201212200001000
431131112023222
5430300444332
634223335430
75411145555
oct1535261352
9521780030
10225796842
11106502567
1263751576
1337a1a0cb
1421db969c
1514c52b7c
hexd7562ea

225796842 has 64 divisors (see below), whose sum is σ = 541728000. Its totient is φ = 69499584.

The previous prime is 225796787. The next prime is 225796843. The reversal of 225796842 is 248697522.

It is not an unprimeable number, because it can be changed into a prime (225796843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32884 + ... + 39152.

It is an arithmetic number, because the mean of its divisors is an integer number (8464500).

Almost surely, 2225796842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225796842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270864000).

225796842 is an abundant number, since it is smaller than the sum of its proper divisors (315931158).

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

225796842 is a wasteful number, since it uses less digits than its factorization.

225796842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6326 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 225796842 is about 15026.5379246186. The cubic root of 225796842 is about 608.9373616082.

It can be divided in two parts, 2257 and 96842, that added together give a palindrome (99099).

The spelling of 225796842 in words is "two hundred twenty-five million, seven hundred ninety-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 138 174 207 261 414 522 621 667 783 1242 1334 1566 2001 4002 6003 6269 12006 12538 18009 18807 36018 37614 56421 112842 144187 169263 181801 288374 338526 363602 432561 545403 865122 1090806 1297683 1636209 2595366 3272418 3893049 4181423 4908627 7786098 8362846 9817254 12544269 25088538 37632807 75265614 112898421 225796842