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2322693120 = 210351159233
BaseRepresentation
bin1000101001110001…
…0111110000000000
312222212120000222010
42022130113300000
514224102134440
61022251212520
7111362365026
oct21234276000
95885500863
102322693120
11a921107a0
12549a47140
132b028c337
14180698716
15d8da5580
hex8a717c00

2322693120 has 352 divisors, whose sum is σ = 8277085440. Its totient is φ = 551157760.

The previous prime is 2322693103. The next prime is 2322693137. The reversal of 2322693120 is 213962232.

It is an interprime number because it is at equal distance from previous prime (2322693103) and next prime (2322693137).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9968524 + ... + 9968756.

Almost surely, 22322693120 is an apocalyptic number.

2322693120 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 2322693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138542720).

2322693120 is an abundant number, since it is smaller than the sum of its proper divisors (5954392320).

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

2322693120 is a wasteful number, since it uses less digits than its factorization.

2322693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2322693120 is about 48194.3266370638. The cubic root of 2322693120 is about 1324.3332342432. Note that the first 3 decimals are identical.

The spelling of 2322693120 in words is "two billion, three hundred twenty-two million, six hundred ninety-three thousand, one hundred twenty".