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223684165632 = 215317137977
BaseRepresentation
bin1101000001010010011…
…1011000000000000000
3210101100221012221220010
43100110213120000000
512131101121300012
6250431543544520
722106050015404
oct3202447300000
9711327187803
10223684165632
1186955975404
123742745b140
131812a065375
14ab7d7c5104
155c42879c3c
hex34149d8000

223684165632 has 256 divisors, whose sum is σ = 636830333280. Its totient is φ = 69591891968.

The previous prime is 223684165613. The next prime is 223684165633. The reversal of 223684165632 is 236561486322.

223684165632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223684165633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228949528 + ... + 228950504.

Almost surely, 2223684165632 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 223684165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318415166640).

223684165632 is an abundant number, since it is smaller than the sum of its proper divisors (413146167648).

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

223684165632 is an equidigital number, since it uses as much as digits as its factorization.

223684165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1136 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 223684165632 in words is "two hundred twenty-three billion, six hundred eighty-four million, one hundred sixty-five thousand, six hundred thirty-two".