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225234502164 = 223275317879437
BaseRepresentation
bin1101000111000100000…
…1011100001000010100
3210112100222110012210200
43101301001130020110
512142240013032124
6251245445020500
722162343452110
oct3216101341024
9715328405720
10225234502164
1187581006171
123779a6b4730
13183162ccc69
14ac8966c740
155cd3a18bc9
hex347105c214

225234502164 has 144 divisors (see below), whose sum is σ = 663395660928. Its totient is φ = 63096493824.

The previous prime is 225234502099. The next prime is 225234502231. The reversal of 225234502164 is 461205432522.

225234502164 is a `hidden beast` number, since 2 + 2 + 523 + 4 + 50 + 21 + 64 = 666.

225234502164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23862454 + ... + 23871890.

It is an arithmetic number, because the mean of its divisors is an integer number (4606914312).

Almost surely, 2225234502164 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 225234502164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331697830464).

225234502164 is an abundant number, since it is smaller than the sum of its proper divisors (438161158764).

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

225234502164 is a wasteful number, since it uses less digits than its factorization.

225234502164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11294 (or 11289 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 225234502164 its reverse (461205432522), we get a palindrome (686439934686).

The spelling of 225234502164 in words is "two hundred twenty-five billion, two hundred thirty-four million, five hundred two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1787 1908 2226 3339 3574 4452 5361 6678 7148 9437 10722 12509 13356 16083 18874 21444 25018 28311 32166 37527 37748 50036 56622 64332 66059 75054 84933 94711 112581 113244 132118 150108 169866 189422 198177 225162 264236 284133 339732 378844 396354 450324 500161 568266 594531 662977 792708 852399 1000322 1136532 1189062 1325954 1500483 1704798 1988931 2000644 2378124 2651908 3000966 3409596 3501127 3977862 4501449 5966793 6001932 7002254 7955724 9002898 10503381 11933586 14004508 16863919 18005796 21006762 23867172 31510143 33727838 42013524 50591757 63020286 67455676 101183514 118047433 126040572 151775271 202367028 236094866 303550542 354142299 472189732 607101084 708284598 893787707 1062426897 1416569196 1787575414 2124853794 2681363121 3575150828 4249707588 5362726242 6256513949 8044089363 10725452484 12513027898 16088178726 18769541847 25026055796 32176357452 37539083694 56308625541 75078167388 112617251082 225234502164