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226407655276776 = 23325359331146561
BaseRepresentation
bin110011011110101010100011…
…110111100000000011101000
31002200122100201202221211122200
4303132222203313200003220
5214133430334222324101
62121310124014020200
765455261521463041
oct6336524367400350
91080570652854580
10226407655276776
116615aa46a71956
12214873a17a7660
1399441c52276bc
143dca2908058c8
151b295b18ab986
hexcdeaa3de00e8

226407655276776 has 48 divisors (see below), whose sum is σ = 624756973297860. Its totient is φ = 74045270906880.

The previous prime is 226407655276679. The next prime is 226407655276801. The reversal of 226407655276776 is 677672556704622.

226407655276776 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 0 + 7 + 6 + 552 + 7 + 67 + 7 + 6 = 666.

226407655276776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 218789359740900 + 7618295535876 = 14791530^2 + 2760126^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 29665569465 + ... + 29665577096.

Almost surely, 2226407655276776 is an apocalyptic number.

It is an amenable number.

226407655276776 is an abundant number, since it is smaller than the sum of its proper divisors (398349318021084).

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

226407655276776 is a wasteful number, since it uses less digits than its factorization.

226407655276776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59331146626 (or 59331146619 counting only the distinct ones).

The product of its (nonzero) digits is 2489356800, while the sum is 72.

The spelling of 226407655276776 in words is "two hundred twenty-six trillion, four hundred seven billion, six hundred fifty-five million, two hundred seventy-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 59331146561 118662293122 177993439683 237324586244 355986879366 474649172488 533980319049 711973758732 1067960638098 1423947517464 2135921276196 3144550767733 4271842552392 6289101535466 9433652303199 12578203070932 18867304606398 25156406141864 28300956909597 37734609212796 56601913819194 75469218425592 113203827638388 226407655276776