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2323096272 = 2432722911353
BaseRepresentation
bin1000101001110111…
…1010001011010000
312222220022111222200
42022131322023100
514224203040042
61022304003200
7111365664300
oct21235721320
95886274880
102323096272
11a92366682
1254a000500
132b03a09a3
14180761600
15d8e34c4c
hex8a77a2d0

2323096272 has 180 divisors, whose sum is σ = 7824382020. Its totient is φ = 640797696.

The previous prime is 2323096247. The next prime is 2323096273. The reversal of 2323096272 is 2726903232.

2323096272 is a `hidden beast` number, since 2 + 3 + 23 + 0 + 9 + 627 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 919544976 + 1403551296 = 30324^2 + 37464^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323096273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198948 + ... + 210300.

It is an arithmetic number, because the mean of its divisors is an integer number (43468789).

Almost surely, 22323096272 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 2323096272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912191010).

2323096272 is an abundant number, since it is smaller than the sum of its proper divisors (5501285748).

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

2323096272 is a wasteful number, since it uses less digits than its factorization.

2323096272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11410 (or 11394 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2323096272 is about 48198.5090225828. The cubic root of 2323096272 is about 1324.4098517266.

The spelling of 2323096272 in words is "two billion, three hundred twenty-three million, ninety-six thousand, two hundred seventy-two".