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2268931392 = 263371347307
BaseRepresentation
bin1000011100111101…
…0010010101000000
312212010101122202000
42013033102111000
514121321301032
61013051024000
7110140412220
oct20717222500
95763348660
102268931392
11a64830812
12533a3b000
132a20b7970
141774a2080
15d42d5e7c
hex873d2540

2268931392 has 448 divisors, whose sum is σ = 8411504640. Its totient is φ = 583759872.

The previous prime is 2268931387. The next prime is 2268931433. The reversal of 2268931392 is 2931398622.

It is a happy number.

2268931392 is a `hidden beast` number, since 226 + 8 + 9 + 31 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7390503 + ... + 7390809.

It is an arithmetic number, because the mean of its divisors is an integer number (18775680).

Almost surely, 22268931392 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 2268931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205752320).

2268931392 is an abundant number, since it is smaller than the sum of its proper divisors (6142573248).

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

2268931392 is a wasteful number, since it uses less digits than its factorization.

2268931392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2268931392 is about 47633.3012922682. The cubic root of 2268931392 is about 1314.0355696049.

The spelling of 2268931392 in words is "two billion, two hundred sixty-eight million, nine hundred thirty-one thousand, three hundred ninety-two".