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226466461266456 = 23379211566086901
BaseRepresentation
bin110011011111100001010100…
…111110100011001000011000
31002200211222112001210122011110
4303133201110332203020120
5214140411303041011311
62121353131150300320
765462443012240065
oct6337412476431030
91080758461718143
10226466461266456
1166182983464324
12214968737b76a0
1399499074a97b8
143dcd06c887c6c
151b2ada43a88a6
hexcdf854fa3218

226466461266456 has 64 divisors (see below), whose sum is σ = 576050031475200. Its totient is φ = 74180027376000.

The previous prime is 226466461266449. The next prime is 226466461266509. The reversal of 226466461266456 is 654662164664622.

It is a happy number.

226466461266456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282643395 + ... + 283443506.

It is an arithmetic number, because the mean of its divisors is an integer number (9000781741800).

Almost surely, 2226466461266456 is an apocalyptic number.

It is an amenable number.

226466461266456 is an abundant number, since it is smaller than the sum of its proper divisors (349583570208744).

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

226466461266456 is a wasteful number, since it uses less digits than its factorization.

226466461266456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566087200 (or 566087196 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 66.

The spelling of 226466461266456 in words is "two hundred twenty-six trillion, four hundred sixty-six billion, four hundred sixty-one million, two hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 79 158 211 237 316 422 474 632 633 844 948 1266 1688 1896 2532 5064 16669 33338 50007 66676 100014 133352 200028 400056 566086901 1132173802 1698260703 2264347604 3396521406 4528695208 6793042812 13586085624 44720865179 89441730358 119444336111 134162595537 178883460716 238888672222 268325191074 357766921432 358333008333 477777344444 536650382148 716666016666 955554688888 1073300764296 1433332033332 2866664066664 9436102552769 18872205105538 28308307658307 37744410211076 56616615316614 75488820422152 113233230633228 226466461266456