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23212232322000 = 2435319942121613
BaseRepresentation
bin1010100011100100001001…
…10111001010101111010000
310001012001211101021210211020
411101302010313022233100
511020302122433301000
6121211315144515440
74614012520163241
oct521620467125720
9101161741253736
1023212232322000
11743a286005537
12272a82977bb80
13cc4b9a45a757
145a3699a4acc8
152a3c0b8b0ba0
hex151c84dcabd0

23212232322000 has 320 divisors, whose sum is σ = 78786993143040. Its totient is φ = 5863249152000.

The previous prime is 23212232321969. The next prime is 23212232322001. The reversal of 23212232322000 is 22323221232.

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 (23212232322001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1073983194 + ... + 1074004806.

It is an arithmetic number, because the mean of its divisors is an integer number (246209353572).

Almost surely, 223212232322000 is an apocalyptic number.

23212232322000 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 23212232322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39393496571520).

23212232322000 is an abundant number, since it is smaller than the sum of its proper divisors (55574760821040).

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

23212232322000 is a wasteful number, since it uses less digits than its factorization.

23212232322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31079 (or 31063 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23212232322000 its reverse (22323221232), we get a palindrome (23234555543232).

The spelling of 23212232322000 in words is "twenty-three trillion, two hundred twelve billion, two hundred thirty-two million, three hundred twenty-two thousand".