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23330132232000 = 2635311137645049
BaseRepresentation
bin1010100110111111110000…
…01111101000011101000000
310001121100011000202210102120
411103133320033220131000
511024220102322411000
6121341414221044240
74625355265655256
oct523377017503500
9101540130683376
1023330132232000
11748528747a990
1227496520b6680
131003039524cc9
145a92820c25d6
152a6d0c2d26a0
hex1537f83e8740

23330132232000 has 448 divisors, whose sum is σ = 84652935494400. Its totient is φ = 5614497792000.

The previous prime is 23330132231983. The next prime is 23330132232007. The reversal of 23330132232000 is 23223103332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330132232007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35845476 + ... + 36490524.

It is an arithmetic number, because the mean of its divisors is an integer number (188957445300).

Almost surely, 223330132232000 is an apocalyptic number.

23330132232000 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 23330132232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42326467747200).

23330132232000 is an abundant number, since it is smaller than the sum of its proper divisors (61322803262400).

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

23330132232000 is a wasteful number, since it uses less digits than its factorization.

23330132232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645227 (or 645207 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23330132232000 its reverse (23223103332), we get a palindrome (23353355335332).

The spelling of 23330132232000 in words is "twenty-three trillion, three hundred thirty billion, one hundred thirty-two million, two hundred thirty-two thousand".