Search a number
-
+
226255470763536 = 24326172546545457
BaseRepresentation
bin110011011100011100110100…
…111101101001111000010000
31002200002210220202221112222100
4303130130310331221320100
5214123432201003413121
62121112154531440400
765441263325453364
oct6334346475517020
91080083822845870
10226255470763536
1166101451861665
12214619ab456100
139932a51209976
143dc2b74c892a4
151b2565611e026
hexcdc734f69e10

226255470763536 has 60 divisors (see below), whose sum is σ = 634227332496732. Its totient is φ = 75296256043008.

The previous prime is 226255470763447. The next prime is 226255470763549. The reversal of 226255470763536 is 635367074552622.

226255470763536 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 55 + 47 + 0 + 7 + 6 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9628882065936 + 216626588697600 = 3103044^2 + 14718240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273183881 + ... + 1273361576.

Almost surely, 2226255470763536 is an apocalyptic number.

It is an amenable number.

226255470763536 is an abundant number, since it is smaller than the sum of its proper divisors (407971861733196).

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

226255470763536 is a wasteful number, since it uses less digits than its factorization.

226255470763536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546546088 (or 2546546079 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 63.

The spelling of 226255470763536 in words is "two hundred twenty-six trillion, two hundred fifty-five billion, four hundred seventy million, seven hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 617 1234 1851 2468 3702 4936 5553 7404 9872 11106 14808 22212 29616 44424 88848 2546545457 5093090914 7639636371 10186181828 15279272742 20372363656 22918909113 30558545484 40744727312 45837818226 61117090968 91675636452 122234181936 183351272904 366702545808 1571218546969 3142437093938 4713655640907 6284874187876 9427311281814 12569748375752 14140966922721 18854622563628 25139496751504 28281933845442 37709245127256 56563867690884 75418490254512 113127735381768 226255470763536