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2268960525 = 3352131931439
BaseRepresentation
bin1000011100111101…
…1001011100001101
312212010110010201000
42013033121130031
514121323214100
61013051410513
7110140563156
oct20717313415
95763403630
102268960525
11a64850697
12533a53a39
132a20c7cc0
141774ac92d
15d42de900
hex873d970d

2268960525 has 192 divisors, whose sum is σ = 4888576000. Its totient is φ = 1021766400.

The previous prime is 2268960517. The next prime is 2268960559. The reversal of 2268960525 is 5250698622.

2268960525 is a `hidden beast` number, since 2 + 2 + 68 + 9 + 60 + 525 = 666.

It is not a de Polignac number, because 2268960525 - 23 = 2268960517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5168256 + ... + 5168694.

Almost surely, 22268960525 is an apocalyptic number.

2268960525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2268960525 is an abundant number, since it is smaller than the sum of its proper divisors (2619615475).

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

2268960525 is a wasteful number, since it uses less digits than its factorization.

2268960525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2268960525 is about 47633.6070962509. The cubic root of 2268960525 is about 1314.0411936378.

The spelling of 2268960525 in words is "two billion, two hundred sixty-eight million, nine hundred sixty thousand, five hundred twenty-five".