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2352000000 = 21035672
BaseRepresentation
bin1000110000110000…
…1010110000000000
320001220200222110010
42030030022300000
514304103000000
61025215304520
7112166445600
oct21414126000
96056628403
102352000000
11aa7708459
1255781b140
132b638099c
14184526c00
15db743d50
hex8c30ac00

2352000000 has 462 divisors, whose sum is σ = 9115430196. Its totient is φ = 537600000.

The previous prime is 2351999999. The next prime is 2352000017. The reversal of 2352000000 is 2532.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2352000000.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 335999997 + ... + 336000003.

Almost surely, 22352000000 is an apocalyptic number.

2352000000 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 2352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557715098).

2352000000 is an abundant number, since it is smaller than the sum of its proper divisors (6763430196).

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

2352000000 is an frugal number, since it uses more digits than its factorization.

2352000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2352000000 is about 48497.4226119286. The cubic root of 2352000000 is about 1329.8799522302.

Multiplying 2352000000 by its sum of digits (12), we get a square (28224000000 = 1680002).

2352000000 divided by its sum of digits (12) gives a square (196000000 = 140002).

Adding to 2352000000 its reverse (2532), we get a palindrome (2352002532).

The spelling of 2352000000 in words is "two billion, three hundred fifty-two million", and thus it is an aban number.