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223250965632 = 2732139212
BaseRepresentation
bin1100111111101011001…
…0110110010010000000
3210100020202002010012200
43033322302312102000
512124204221400012
6250320550553200
722062236616552
oct3177262662200
9710222063180
10223250965632
1186753393882
1237326368800
131808b39b3c6
14ab3c05b4d2
155c198093dc
hex33facb6480

223250965632 has 72 divisors (see below), whose sum is σ = 642474060345. Its totient is φ = 74411642880.

The previous prime is 223250965621. The next prime is 223250965667. The reversal of 223250965632 is 236569052322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

223250965632 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 5 + 0 + 9 + 6 + 5 + 632 = 666.

223250965632 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 221298739776 + 1952225856 = 470424^2 + 44184^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334104.

It is a super-3 number, since 3×2232509656323 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16030032 + ... + 16043952.

Almost surely, 2223250965632 is an apocalyptic number.

It is an amenable number.

223250965632 is an abundant number, since it is smaller than the sum of its proper divisors (419223094713).

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

223250965632 is an frugal number, since it uses more digits than its factorization.

223250965632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27862 (or 13926 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 223250965632 in words is "two hundred twenty-three billion, two hundred fifty million, nine hundred sixty-five thousand, six hundred thirty-two".