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23340164120 = 23572132312273
BaseRepresentation
bin10101101111001011…
…101010010000011000
32020020121122012000222
4111233023222100120
5340300040222440
614420004415212
71454251056500
oct255713522030
966217565028
1023340164120
119997a06839
1246346a7508
13227c6b0400
1411b5b58a00
159191042b5
hex56f2ea418

23340164120 has 288 divisors, whose sum is σ = 68313870720. Its totient is φ = 7145349120.

The previous prime is 23340164119. The next prime is 23340164137. The reversal of 23340164120 is 2146104332.

It is a super-2 number, since 2×233401641202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23340164120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10267304 + ... + 10269576.

It is an arithmetic number, because the mean of its divisors is an integer number (237200940).

Almost surely, 223340164120 is an apocalyptic number.

23340164120 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 23340164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34156935360).

23340164120 is an abundant number, since it is smaller than the sum of its proper divisors (44973706600).

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

23340164120 is a wasteful number, since it uses less digits than its factorization.

23340164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 23340164120 its reverse (2146104332), we get a palindrome (25486268452).

The spelling of 23340164120 in words is "twenty-three billion, three hundred forty million, one hundred sixty-four thousand, one hundred twenty".