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223923504168 = 2332721342111597
BaseRepresentation
bin1101000010001011100…
…0011000010000101000
3210101222121120121122100
43100202320120100220
512132043404113133
6250511413453400
722115014244400
oct3204270302050
9711877517570
10223923504168
1186a68a86a51
1237493641260
13181678140c0
14aba34c7800
155c588a4e13
hex3422e18428

223923504168 has 288 divisors, whose sum is σ = 761610737160. Its totient is φ = 58911390720.

The previous prime is 223923504157. The next prime is 223923504169. The reversal of 223923504168 is 861405329322.

223923504168 is a `hidden beast` number, since 2 + 239 + 2 + 350 + 4 + 1 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124142066244 + 99781437924 = 352338^2 + 315882^2 .

It is not an unprimeable number, because it can be changed into a prime (223923504169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19302946 + ... + 19314542.

Almost surely, 2223923504168 is an apocalyptic number.

223923504168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223923504168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380805368580).

223923504168 is an abundant number, since it is smaller than the sum of its proper divisors (537687232992).

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

223923504168 is a wasteful number, since it uses less digits than its factorization.

223923504168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057 (or 12043 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 223923504168 in words is "two hundred twenty-three billion, nine hundred twenty-three million, five hundred four thousand, one hundred sixty-eight".