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2332021120 = 275111383307
BaseRepresentation
bin1000101011111111…
…1101000110000000
320000112002221120121
42022333331012000
514233444133440
61023223150024
7111534565252
oct21277750600
96015087517
102332021120
11a97401a90
12550ba5314
132b21a7070
14181a05cd2
15d9ae934a
hex8affd180

2332021120 has 256 divisors, whose sum is σ = 6650138880. Its totient is φ = 770826240.

The previous prime is 2332021103. The next prime is 2332021169. The reversal of 2332021120 is 211202332.

2332021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2332021094 and 2332021103.

It is a congruent number.

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, 7596007 + ... + 7596313.

It is an arithmetic number, because the mean of its divisors is an integer number (25977105).

Almost surely, 22332021120 is an apocalyptic number.

2332021120 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 2332021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325069440).

2332021120 is an abundant number, since it is smaller than the sum of its proper divisors (4318117760).

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

2332021120 is a wasteful number, since it uses less digits than its factorization.

2332021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2332021120 is about 48291.0045453602. The cubic root of 2332021120 is about 1326.1037192501.

Adding to 2332021120 its reverse (211202332), we get a palindrome (2543223452).

The spelling of 2332021120 in words is "two billion, three hundred thirty-two million, twenty-one thousand, one hundred twenty".