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2352172680 = 23325111345691
BaseRepresentation
bin1000110000110011…
…0100111010001000
320001221000202022200
42030030310322020
514304124011210
61025223120200
7112201065204
oct21414647210
96057022280
102352172680
11aa7816170
125578a3060
132b6411470
1418456db04
15db77a0c0
hex8c334e88

2352172680 has 192 divisors, whose sum is σ = 8981219520. Its totient is φ = 526348800.

The previous prime is 2352172679. The next prime is 2352172699. The reversal of 2352172680 is 862712532.

2352172680 is a `hidden beast` number, since 2 + 3 + 521 + 72 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28635 + ... + 74325.

It is an arithmetic number, because the mean of its divisors is an integer number (46777185).

Almost surely, 22352172680 is an apocalyptic number.

2352172680 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 2352172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490609760).

2352172680 is an abundant number, since it is smaller than the sum of its proper divisors (6629046840).

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

2352172680 is a wasteful number, since it uses less digits than its factorization.

2352172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45732 (or 45725 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2352172680 is about 48499.2028800474. The cubic root of 2352172680 is about 1329.9124973054.

The spelling of 2352172680 in words is "two billion, three hundred fifty-two million, one hundred seventy-two thousand, six hundred eighty".