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226211420221125 = 3534797934914153
BaseRepresentation
bin110011011011110011110011…
…010110001010111011000101
31002122221121012211002010212120
4303123303303112022323011
5214122221442034034000
62121040031455440153
765435143605152133
oct6333636326127305
91078847184063776
10226211420221125
11660947a7439109
1221455356b26059
13992b850c1a761
143dc099676c753
151b24428c2b6a0
hexcdbcf358aec5

226211420221125 has 128 divisors (see below), whose sum is σ = 388456779110400. Its totient is φ = 116841085747200.

The previous prime is 226211420221109. The next prime is 226211420221223. The reversal of 226211420221125 is 521122024112622.

It is a happy number.

It is not a de Polignac number, because 226211420221125 - 24 = 226211420221109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15983277049 + ... + 15983291201.

It is an arithmetic number, because the mean of its divisors is an integer number (3034818586800).

Almost surely, 2226211420221125 is an apocalyptic number.

226211420221125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226211420221125 is a deficient number, since it is larger than the sum of its proper divisors (162245358889275).

226211420221125 is a wasteful number, since it uses less digits than its factorization.

226211420221125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23664 (or 23654 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 226211420221125 its reverse (521122024112622), we get a palindrome (747333444333747).

The spelling of 226211420221125 in words is "two hundred twenty-six trillion, two hundred eleven billion, four hundred twenty million, two hundred twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 97 125 141 235 291 375 485 705 1175 1455 2425 3525 4559 5875 7275 9349 12125 13677 14153 17625 22795 28047 36375 42459 46745 68385 70765 113975 140235 212295 233725 341925 353825 439403 569875 665191 701175 906853 1061475 1168625 1318209 1372841 1709625 1769125 1995573 2197015 2720559 3325955 3505875 4118523 4534265 5307375 6591045 6864205 9977865 10985075 13602795 16629775 20592615 22671325 32955225 34321025 42622091 49889325 54925375 64523527 68013975 83148875 102963075 113356625 127866273 132316397 164776125 171605125 193570581 213110455 249446625 322617635 340069875 396949191 514815375 639331365 661581985 967852905 1065552275 1613088175 1984745955 3196656825 3307909925 4839264525 5327761375 6218870659 8065440875 9923729775 12834690509 15983284125 16539549625 18656611977 24196322625 31094353295 38504071527 49618648875 64173452545 93283059885 155471766475 192520357635 320867262725 466415299425 603230453923 777358832375 962601788175 1604336313625 1809691361769 2332076497125 3016152269615 4813008940875 9048456808845 15080761348075 45242284044225 75403806740375 226211420221125