Search a number
-
+
2292450264 = 2332132449199
BaseRepresentation
bin1000100010100100…
…0000001111011000
312220202122112120100
42020221000033120
514143331402024
61015251055400
7110544335316
oct21051001730
95822575510
102292450264
11a770348a5
1253b8a1560
132a6c30960
1417a6650b6
15d63ce7c9
hex88a403d8

2292450264 has 48 divisors (see below), whose sum is σ = 6686316000. Its totient is φ = 705369024.

The previous prime is 2292450247. The next prime is 2292450269. The reversal of 2292450264 is 4620542922.

It is a happy number.

2292450264 is a `hidden beast` number, since 2 + 2 + 92 + 4 + 502 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292450269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1223664 + ... + 1225535.

It is an arithmetic number, because the mean of its divisors is an integer number (139298250).

Almost surely, 22292450264 is an apocalyptic number.

2292450264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2292450264 is an abundant number, since it is smaller than the sum of its proper divisors (4393865736).

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

2292450264 is a wasteful number, since it uses less digits than its factorization.

2292450264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449224 (or 2449217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2292450264 is about 47879.5390955260. The cubic root of 2292450264 is about 1318.5602345814.

The spelling of 2292450264 in words is "two billion, two hundred ninety-two million, four hundred fifty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2449199 4898398 7347597 9796796 14695194 19593592 22042791 29390388 31839587 44085582 58780776 63679174 88171164 95518761 127358348 176342328 191037522 254716696 286556283 382075044 573112566 764150088 1146225132 2292450264