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2332232320032 = 253347127452227
BaseRepresentation
bin100001111100000011111…
…000010000010000100000
322020221220021120101111000
4201330003320100100200
5301202402433220112
64543225052352000
7330332614426056
oct41740370202040
98227807511430
102332232320032
1181a1043861aa
12318003a75600
1313bc0c0946a4
1480c486cc1d6
1540a002687dc
hex21f03e10420

2332232320032 has 192 divisors, whose sum is σ = 7001791856640. Its totient is φ = 754877346048.

The previous prime is 2332232320013. The next prime is 2332232320091. The reversal of 2332232320032 is 2300232322332.

2332232320032 is a `hidden beast` number, since 2 + 332 + 2 + 3 + 2 + 320 + 0 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2332232319978 and 2332232320005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4931103 + ... + 5383329.

It is an arithmetic number, because the mean of its divisors is an integer number (36467665920).

Almost surely, 22332232320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332232320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500895928320).

2332232320032 is an abundant number, since it is smaller than the sum of its proper divisors (4669559536608).

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

2332232320032 is a wasteful number, since it uses less digits than its factorization.

2332232320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452420 (or 452406 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 2332232320032 its reverse (2300232322332), we get a palindrome (4632464642364).

The spelling of 2332232320032 in words is "two trillion, three hundred thirty-two billion, two hundred thirty-two million, three hundred twenty thousand, thirty-two".