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2312000000 = 2956172
BaseRepresentation
bin1000100111001110…
…0101001000000000
312222010102202202122
42021303211020000
514213333000000
61021230103412
7111202450532
oct21163451000
95863382678
102312000000
11a87077902
1254634ab68
132aacb714b
1417d0b3852
15d7e92085
hex89ce5200

2312000000 has 210 divisors, whose sum is σ = 6133925391. Its totient is φ = 870400000.

The previous prime is 2311999969. The next prime is 2312000023. The reversal of 2312000000 is 2132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 1453744384 + 858255616 = 38128^2 + 29296^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34000.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 135999992 + ... + 136000008.

Almost surely, 22312000000 is an apocalyptic number.

2312000000 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 2312000000

2312000000 is an abundant number, since it is smaller than the sum of its proper divisors (3821925391).

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

2312000000 is an frugal number, since it uses more digits than its factorization.

2312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2312000000 is about 48083.2611206852. The cubic root of 2312000000 is about 1322.2978036916.

Adding to 2312000000 its reverse (2132), we get a palindrome (2312002132).

The spelling of 2312000000 in words is "two billion, three hundred twelve million", and thus it is an aban number.