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2296929960 = 2334513232371
BaseRepresentation
bin1000100011101000…
…0101111010101000
312221002002010120000
42020322011322220
514201003224320
61015531103000
7110630403543
oct21072057250
95832063500
102296929960
11a79614526
125412a1a60
132a7b3b970
1417b0ad85a
15d69b6c90
hex88e85ea8

2296929960 has 320 divisors, whose sum is σ = 8679242880. Its totient is φ = 540587520.

The previous prime is 2296929923. The next prime is 2296929961. The reversal of 2296929960 is 699296922.

2296929960 is a `hidden beast` number, since 2 + 296 + 9 + 299 + 60 = 666.

It is a super-2 number, since 2×22969299602 = 10551774482291203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2296929897 and 2296929906.

It is not an unprimeable number, because it can be changed into a prime (2296929961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 967575 + ... + 969945.

It is an arithmetic number, because the mean of its divisors is an integer number (27122634).

Almost surely, 22296929960 is an apocalyptic number.

2296929960 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 2296929960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339621440).

2296929960 is an abundant number, since it is smaller than the sum of its proper divisors (6382312920).

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

2296929960 is a wasteful number, since it uses less digits than its factorization.

2296929960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 2296929960 is about 47926.2971655437. The cubic root of 2296929960 is about 1319.4185455623.

The spelling of 2296929960 in words is "two billion, two hundred ninety-six million, nine hundred twenty-nine thousand, nine hundred sixty".