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2265425460 = 2232512585697
BaseRepresentation
bin1000011100000111…
…1010011000110100
312211212210112111200
42013001322120310
514114422103320
61012443532500
7110065540644
oct20701723064
95755715450
102265425460
11a62856751
1253282a130
132a145ac4c
14176c2c524
15d3d42290
hex8707a634

2265425460 has 36 divisors (see below), whose sum is σ = 6871791108. Its totient is φ = 604113408.

The previous prime is 2265425443. The next prime is 2265425473. The reversal of 2265425460 is 645245622.

2265425460 is a `hidden beast` number, since 2 + 2 + 6 + 542 + 54 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 481714704 + 1783710756 = 21948^2 + 42234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6292669 + ... + 6293028.

Almost surely, 22265425460 is an apocalyptic number.

2265425460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265425460 is an abundant number, since it is smaller than the sum of its proper divisors (4606365648).

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

2265425460 is a wasteful number, since it uses less digits than its factorization.

2265425460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585712 (or 12585707 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2265425460 is about 47596.4857946466. The cubic root of 2265425460 is about 1313.3584087963.

The spelling of 2265425460 in words is "two billion, two hundred sixty-five million, four hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12585697 25171394 37757091 50342788 62928485 75514182 113271273 125856970 151028364 188785455 226542546 251713940 377570910 453085092 566356365 755141820 1132712730 2265425460