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23181398240 = 255721113232931
BaseRepresentation
bin10101100101101110…
…000001000011100000
32012211112220001012012
4111211232001003200
5334433414220430
614352133452052
71450312430300
oct254556010340
965745801165
1023181398240
119916327670
1245ab4a1028
1322558325c0
14119ca2b600
1590a1e2695
hex565b810e0

23181398240 has 1152 divisors, whose sum is σ = 83398533120. Its totient is φ = 5960908800.

The previous prime is 23181398231. The next prime is 23181398243. The reversal of 23181398240 is 4289318132.

It is a super-2 number, since 2×231813982402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23181398243) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 747787025 + ... + 747787055.

It is an arithmetic number, because the mean of its divisors is an integer number (72394560).

Almost surely, 223181398240 is an apocalyptic number.

23181398240 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 23181398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41699266560).

23181398240 is an abundant number, since it is smaller than the sum of its proper divisors (60217134880).

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

23181398240 is a wasteful number, since it uses less digits than its factorization.

23181398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 23181398240 in words is "twenty-three billion, one hundred eighty-one million, three hundred ninety-eight thousand, two hundred forty".