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2294016864 = 25331770839
BaseRepresentation
bin1000100010111011…
…1110101101100000
312220212121010112120
42020232332231200
514144232014424
61015344424240
7110563551546
oct21056765540
95825533476
102294016864
11a77a04907
12540318080
132a735ba39
1417a951d96
15d65dda79
hex88bbeb60

2294016864 has 48 divisors (see below), whose sum is σ = 6216053760. Its totient is φ = 740004480.

The previous prime is 2294016859. The next prime is 2294016869. The reversal of 2294016864 is 4686104922.

2294016864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2294016859) and next prime (2294016869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294016869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382444 + ... + 388395.

It is an arithmetic number, because the mean of its divisors is an integer number (129501120).

Almost surely, 22294016864 is an apocalyptic number.

2294016864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2294016864 is an abundant number, since it is smaller than the sum of its proper divisors (3922036896).

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

2294016864 is a wasteful number, since it uses less digits than its factorization.

2294016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770883 (or 770875 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2294016864 is about 47895.8961081218. The cubic root of 2294016864 is about 1318.8605226088.

The spelling of 2294016864 in words is "two billion, two hundred ninety-four million, sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 770839 1541678 2312517 3083356 4625034 6166712 9250068 12333424 18500136 23896009 24666848 37000272 47792018 71688027 74000544 95584036 143376054 191168072 286752108 382336144 573504216 764672288 1147008432 2294016864