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2252247975 = 3252172325601
BaseRepresentation
bin1000011000111110…
…1001001110100111
312210222000001101200
42012033221032213
514103033413400
61011253253543
7106545535425
oct20617511647
95728001350
102252247975
11a5637626a
1252a3342b3
1329b7c6013
1417519c115
15d2adcb00
hex863e93a7

2252247975 has 72 divisors (see below), whose sum is σ = 4457205792. Its totient is φ = 1081344000.

The previous prime is 2252247953. The next prime is 2252247983. The reversal of 2252247975 is 5797422522.

It is not a de Polignac number, because 2252247975 - 213 = 2252239783 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2252247975.

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 71 ways as a sum of consecutive naturals, for example, 75175 + ... + 100775.

It is an arithmetic number, because the mean of its divisors is an integer number (61905636).

Almost surely, 22252247975 is an apocalyptic number.

2252247975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2252247975 is a deficient number, since it is larger than the sum of its proper divisors (2204957817).

2252247975 is a wasteful number, since it uses less digits than its factorization.

2252247975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25657 (or 25649 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2252247975 is about 47457.8547239548. The cubic root of 2252247975 is about 1310.8069489714.

The spelling of 2252247975 in words is "two billion, two hundred fifty-two million, two hundred forty-seven thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 17 23 25 45 51 69 75 85 115 153 207 225 255 345 391 425 575 765 1035 1173 1275 1725 1955 3519 3825 5175 5865 9775 17595 25601 29325 76803 87975 128005 230409 384015 435217 588823 640025 1152045 1305651 1766469 1920075 2176085 2944115 3916953 5299407 5760225 6528255 8832345 10009991 10880425 14720575 19584765 26497035 30029973 32641275 44161725 50049955 90089919 97923825 132485175 150149865 250249775 450449595 750749325 2252247975