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223625986272 = 2533133117809
BaseRepresentation
bin1101000001000100100…
…1011100000011100000
3210101012212202010211000
43100101021130003200
512130441223030042
6250422104552000
722104442343313
oct3202111340340
9711185663730
10223625986272
1186926048397
123740ba82600
131811aca5000
14ab75b9c97a
155c3c6d674c
hex341125c0e0

223625986272 has 192 divisors, whose sum is σ = 706577256000. Its totient is φ = 68807411712.

The previous prime is 223625986163. The next prime is 223625986289. The reversal of 223625986272 is 272689526322.

It is a happy number.

223625986272 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 2 + 5 + 9 + 8 + 627 + 2 = 666.

It is a super-2 number, since 2×2236259862722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1839304 + ... + 1957112.

It is an arithmetic number, because the mean of its divisors is an integer number (3680089875).

Almost surely, 2223625986272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223625986272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353288628000).

223625986272 is an abundant number, since it is smaller than the sum of its proper divisors (482951269728).

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

223625986272 is a wasteful number, since it uses less digits than its factorization.

223625986272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117867 (or 117827 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 223625986272 in words is "two hundred twenty-three billion, six hundred twenty-five million, nine hundred eighty-six thousand, two hundred seventy-two".