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23162400000 = 2832553217
BaseRepresentation
bin10101100100100101…
…100010110100000000
32012210020010211111200
4111210211202310000
5334414033300000
614350214341200
71446662102655
oct254445426400
965706124450
1023162400000
119906630a43
1245a505a800
13225191013c
14119a2c3c2c
159086dd500
hex564962d00

23162400000 has 324 divisors, whose sum is σ = 83499241644. Its totient is φ = 6174720000.

The previous prime is 23162399929. The next prime is 23162400031. The reversal of 23162400000 is 426132.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14365460736 + 8796939264 = 119856^2 + 93792^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7198392 + ... + 7201608.

Almost surely, 223162400000 is an apocalyptic number.

23162400000 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 23162400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41749620822).

23162400000 is an abundant number, since it is smaller than the sum of its proper divisors (60336841644).

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

23162400000 is an frugal number, since it uses more digits than its factorization.

23162400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23162400000 its reverse (426132), we get a palindrome (23162826132).

The spelling of 23162400000 in words is "twenty-three billion, one hundred sixty-two million, four hundred thousand".