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2252312896 = 26193175843
BaseRepresentation
bin1000011000111111…
…1001000101000000
312210222010100110011
42012033321011000
514103043003041
61011254514304
7106546225621
oct20617710500
95728110404
102252312896
11a56410019
1252a365994
1329b819732
141751b7a48
15d2b01e81
hex863f9140

2252312896 has 56 divisors (see below), whose sum is σ = 4720315680. Its totient is φ = 1063337472.

The previous prime is 2252312893. The next prime is 2252312899. The reversal of 2252312896 is 6982132522.

It is an interprime number because it is at equal distance from previous prime (2252312893) and next prime (2252312899).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252312893) 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 7 ways as a sum of consecutive naturals, for example, 382551 + ... + 388393.

Almost surely, 22252312896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360157840).

2252312896 is an abundant number, since it is smaller than the sum of its proper divisors (2468002784).

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

2252312896 is a wasteful number, since it uses less digits than its factorization.

2252312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6181 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 2252312896 is about 47458.5387048527. The cubic root of 2252312896 is about 1310.8195435112.

The spelling of 2252312896 in words is "two billion, two hundred fifty-two million, three hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 317 608 634 1216 1268 2536 5072 5843 6023 10144 11686 12046 20288 23372 24092 46744 48184 93488 96368 111017 186976 192736 222034 373952 385472 444068 888136 1776272 1852231 3552544 3704462 7105088 7408924 14817848 29635696 35192389 59271392 70384778 118542784 140769556 281539112 563078224 1126156448 2252312896