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2332000000 = 28561153
BaseRepresentation
bin1000101011111111…
…0111111100000000
320000112001212121101
42022333313330000
514233443000000
61023222504144
7111534446551
oct21277677400
96015055541
102332000000
11a97398130
12550b95054
132b219a575
141819dc328
15d9ae2e6a
hex8aff7f00

2332000000 has 252 divisors, whose sum is σ = 6467260968. Its totient is φ = 832000000.

The previous prime is 2331999991. The next prime is 2332000067. The reversal of 2332000000 is 2332.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 43999974 + ... + 44000026.

It is an arithmetic number, because the mean of its divisors is an integer number (25663734).

Almost surely, 22332000000 is an apocalyptic number.

2332000000 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 2332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233630484).

2332000000 is an abundant number, since it is smaller than the sum of its proper divisors (4135260968).

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

2332000000 is an frugal number, since it uses more digits than its factorization.

2332000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2332000000 is about 48290.7858705985. The cubic root of 2332000000 is about 1326.0997159423.

Adding to 2332000000 its reverse (2332), we get a palindrome (2332002332).

Multiplying 2332000000 by its reverse (2332), we get a square (5438224000000 = 23320002).

2332000000 divided by its reverse (2332) gives a 6-th power (1000000 = 106).

It can be divided in two parts, 23 and 32000000, that added together give a palindrome (32000023).

The spelling of 2332000000 in words is "two billion, three hundred thirty-two million", and thus it is an aban number.