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2252425527 = 3211243103467
BaseRepresentation
bin1000011001000001…
…0100100100110111
312210222100001221200
42012100110210313
514103110104102
61011301143543
7106550205162
oct20620244467
95728301850
102252425527
11a56487700
1252a3babb3
1329b858a91
14175206ad9
15d2b2551c
hex86414937

2252425527 has 72 divisors (see below), whose sum is σ = 3702771072. Its totient is φ = 1317587040.

The previous prime is 2252425517. The next prime is 2252425529. The reversal of 2252425527 is 7255242522.

2252425527 is a `hidden beast` number, since 225 + 2 + 425 + 5 + 2 + 7 = 666.

It is not a de Polignac number, because 2252425527 - 223 = 2244036919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2252425491 and 2252425500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252425529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4822948 + ... + 4823414.

It is an arithmetic number, because the mean of its divisors is an integer number (51427376).

Almost surely, 22252425527 is an apocalyptic number.

2252425527 is a deficient number, since it is larger than the sum of its proper divisors (1450345545).

2252425527 is a wasteful number, since it uses less digits than its factorization.

2252425527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 2252425527 is about 47459.7253152607. The cubic root of 2252425527 is about 1310.8413931183.

The spelling of 2252425527 in words is "two billion, two hundred fifty-two million, four hundred twenty-five thousand, five hundred twenty-seven".

Divisors: 1 3 9 11 33 43 99 103 121 129 309 363 387 467 473 927 1089 1133 1401 1419 3399 4203 4257 4429 5137 5203 10197 12463 13287 15411 15609 20081 37389 39861 46233 46827 48101 48719 56507 60243 112167 144303 146157 169521 180729 220891 432909 438471 508563 529111 535909 662673 1587333 1607727 1988019 2068343 2429801 4761999 4823181 5820221 6205029 7289403 17460663 18615087 21868209 22751773 52381989 68255319 204765957 250269503 750808509 2252425527