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223964875008 = 2832761227651
BaseRepresentation
bin1101000010010101011…
…0001100100100000000
3210102002111102110202200
43100211112030210000
512132140002000013
6250515452313200
722116026012160
oct3204526144400
9712074373680
10223964875008
1186a8a373526
12374a5472800
131817326a8a4
14aba8bb65a0
155c5c327e73
hex342558c900

223964875008 has 216 divisors, whose sum is σ = 750096949056. Its totient is φ = 62940672000.

The previous prime is 223964874979. The next prime is 223964875033. The reversal of 223964875008 is 800578469322.

223964875008 is a `hidden beast` number, since 2 + 2 + 3 + 96 + 48 + 7 + 500 + 8 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 869983 + ... + 1097633.

Almost surely, 2223964875008 is an apocalyptic number.

223964875008 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 223964875008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375048474528).

223964875008 is an abundant number, since it is smaller than the sum of its proper divisors (526132074048).

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

223964875008 is a wasteful number, since it uses less digits than its factorization.

223964875008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227741 (or 227724 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 223964875008 in words is "two hundred twenty-three billion, nine hundred sixty-four million, eight hundred seventy-five thousand, eight".