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23374332000 = 253453193797
BaseRepresentation
bin10101110001001110…
…000000000001100000
32020022222221002120000
4111301032000001200
5340332312111000
614423225020000
71455144354345
oct256116000140
966288832500
1023374332000
119a05223658
124644024600
1322867b44a6
1411ba4d07cc
1591c103000
hex571380060

23374332000 has 480 divisors, whose sum is σ = 90330720480. Its totient is φ = 5903539200.

The previous prime is 23374331989. The next prime is 23374332077. The reversal of 23374332000 is 23347332.

It is a happy number.

23374332000 is a `hidden beast` number, since 2 + 337 + 4 + 3 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 6154102 + ... + 6157898.

It is an arithmetic number, because the mean of its divisors is an integer number (188189001).

Almost surely, 223374332000 is an apocalyptic number.

23374332000 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 23374332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45165360240).

23374332000 is an abundant number, since it is smaller than the sum of its proper divisors (66956388480).

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

23374332000 is a wasteful number, since it uses less digits than its factorization.

23374332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

Adding to 23374332000 its reverse (23347332), we get a palindrome (23397679332).

The spelling of 23374332000 in words is "twenty-three billion, three hundred seventy-four million, three hundred thirty-two thousand".