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2264057440 = 25523615233
BaseRepresentation
bin1000011011110010…
…1100011001100000
312211210020000221021
42012330230121200
514114044314230
61012354335224
7110051112361
oct20674543140
95753200837
102264057440
11a62001957
1253228a514
132a109c378
14176993b68
15d3b71c7a
hex86f2c660

2264057440 has 48 divisors (see below), whose sum is σ = 5581402848. Its totient is φ = 866246656.

The previous prime is 2264057413. The next prime is 2264057447. The reversal of 2264057440 is 447504622.

It is a junction number, because it is equal to n+sod(n) for n = 2264057396 and 2264057405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264057447) 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, 303937 + ... + 311296.

It is an arithmetic number, because the mean of its divisors is an integer number (116279226).

Almost surely, 22264057440 is an apocalyptic number.

2264057440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264057440 is an abundant number, since it is smaller than the sum of its proper divisors (3317345408).

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

2264057440 is a wasteful number, since it uses less digits than its factorization.

2264057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615271 (or 615263 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 2264057440 is about 47582.1126054739. The cubic root of 2264057440 is about 1313.0939901281.

The spelling of 2264057440 in words is "two billion, two hundred sixty-four million, fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 615233 1230466 2460932 3076165 4921864 6152330 9843728 12304660 14150359 19687456 24609320 28300718 49218640 56601436 70751795 98437280 113202872 141503590 226405744 283007180 452811488 566014360 1132028720 2264057440