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226005372564 = 22316323072309
BaseRepresentation
bin1101001001111011111…
…0000100111010010100
3210121100200222111012020
43102132332010322110
512200324333410224
6251454143253140
722220423653506
oct3223676047224
9717320874166
10226005372564
1187937160544
12379748aa1b0
1318409c240aa
14ad1dbb3d76
155d2b539c79
hex349ef84e94

226005372564 has 72 divisors (see below), whose sum is σ = 532559855520. Its totient is φ = 74596738752.

The previous prime is 226005372563. The next prime is 226005372599. The reversal of 226005372564 is 465273500622.

It is a happy number.

226005372564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226005372563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97879042 + ... + 97881350.

It is an arithmetic number, because the mean of its divisors is an integer number (7396664660).

Almost surely, 2226005372564 is an apocalyptic number.

It is an amenable number.

226005372564 is an abundant number, since it is smaller than the sum of its proper divisors (306554482956).

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

226005372564 is a wasteful number, since it uses less digits than its factorization.

226005372564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 226005372564 in words is "two hundred twenty-six billion, five million, three hundred seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 163 307 326 489 614 652 921 978 1228 1842 1956 2309 3684 4618 6927 9236 13854 26569 27708 50041 53138 79707 100082 106276 150123 159414 200164 300246 318828 376367 600492 708863 752734 1129101 1417726 1505468 2126589 2258202 2835452 4253178 4516404 8156683 8506356 16313366 24470049 32626732 48940098 61347821 97880196 115544669 122695642 184043463 231089338 245391284 346634007 368086926 462178676 693268014 736173852 1386536028 18833781047 37667562094 56501343141 75335124188 113002686282 226005372564