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223690325760 = 2836511193137
BaseRepresentation
bin1101000001010011111…
…0110111111100000000
3210101101100210221000000
43100110332313330000
512131104210411020
6250432324000000
722106153253066
oct3202476677400
9711340727000
10223690325760
11869593a2620
1237429530000
131812b411205
14ab8054a036
155c43195090
hex3414fb7f00

223690325760 has 2016 divisors, whose sum is σ = 977996113920. Its totient is φ = 48372940800.

The previous prime is 223690325759. The next prime is 223690325773. The reversal of 223690325760 is 67523096322.

223690325760 is a `hidden beast` number, since 2 + 236 + 90 + 325 + 7 + 6 + 0 = 666.

223690325760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2236903257602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 6045684462 + ... + 6045684498.

It is an arithmetic number, because the mean of its divisors is an integer number (485117120).

Almost surely, 2223690325760 is an apocalyptic number.

223690325760 is a gapful number since it is divisible by the number (20) 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 223690325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488998056960).

223690325760 is an abundant number, since it is smaller than the sum of its proper divisors (754305788160).

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

223690325760 is a wasteful number, since it uses less digits than its factorization.

223690325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 223690325760 in words is "two hundred twenty-three billion, six hundred ninety million, three hundred twenty-five thousand, seven hundred sixty".