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226505653121274 = 232331431200361331
BaseRepresentation
bin110011100000000101110100…
…111111100111000011111010
31002200222201200102012010212220
4303200011310333213003322
5214142032034144340044
62121423132135544510
765465331144431352
oct6340056477470372
91080881612163786
10226505653121274
116619856521898a
12214a2390b2b136
139950511cb6937
143dd0d099a9b62
151b2bde9e5a019
hexce0174fe70fa

226505653121274 has 128 divisors (see below), whose sum is σ = 489340382478336. Its totient is φ = 69691437816000.

The previous prime is 226505653121273. The next prime is 226505653121291. The reversal of 226505653121274 is 472121356505622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (226505653121273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3693136789 + ... + 3693198119.

It is an arithmetic number, because the mean of its divisors is an integer number (3822971738112).

Almost surely, 2226505653121274 is an apocalyptic number.

226505653121274 is an abundant number, since it is smaller than the sum of its proper divisors (262834729357062).

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

226505653121274 is a wasteful number, since it uses less digits than its factorization.

226505653121274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63824.

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 226505653121274 in words is "two hundred twenty-six trillion, five hundred five billion, six hundred fifty-three million, one hundred twenty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 431 713 862 1293 1426 2003 2139 2586 4006 4278 6009 9913 12018 13361 19826 26722 29739 40083 46069 59478 61331 62093 80166 92138 122662 124186 138207 183993 186279 276414 307303 367986 372558 614606 863293 921909 1410613 1428139 1726586 1843818 1901261 2589879 2821226 2856278 3802522 4231839 4284417 5179758 5703783 8463678 8568834 11407566 19855739 26433661 26762083 39711478 43729003 52867322 53524166 59567217 79300983 80286249 87458006 119134434 122845993 131187009 158601966 160572498 245691986 262374018 368537979 607974203 615527909 737075958 819443491 1215948406 1231055818 1638886982 1823922609 1846583727 2458330473 2825457839 3647845218 3693167454 3808225783 4916660946 5650915678 7616451566 8476373517 11424677349 16952747034 18847200293 22849354698 37694400586 52946622983 56541600879 87589193009 105893245966 113083201758 158839868949 175178386018 262767579027 317679737898 525535158054 1217772328609 1641345312473 2435544657218 3282690624946 3653316985827 4924035937419 7306633971654 9848071874838 37750942186879 75501884373758 113252826560637 226505653121274