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2312263296 = 2732717101167
BaseRepresentation
bin1000100111010010…
…0101011010000000
312222010221010221100
42021310211122000
514213414411141
61021235454400
7111204625260
oct21164453200
95863833840
102312263296
11a87237702
12546457400
132ab079c45
1417d1417a0
15d7ee50b6
hex89d25680

2312263296 has 384 divisors, whose sum is σ = 8180040960. Its totient is φ = 611942400.

The previous prime is 2312263271. The next prime is 2312263307. The reversal of 2312263296 is 6923622132.

It is a happy number.

2312263296 is a `hidden beast` number, since 2 + 3 + 12 + 2 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2312263296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13845805 + ... + 13845971.

It is an arithmetic number, because the mean of its divisors is an integer number (21302190).

Almost surely, 22312263296 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 2312263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090020480).

2312263296 is an abundant number, since it is smaller than the sum of its proper divisors (5867777664).

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

2312263296 is a wasteful number, since it uses less digits than its factorization.

2312263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2312263296 is about 48085.9989601963. The cubic root of 2312263296 is about 1322.3479972480.

The spelling of 2312263296 in words is "two billion, three hundred twelve million, two hundred sixty-three thousand, two hundred ninety-six".