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2250023552 = 2772615881
BaseRepresentation
bin1000011000011100…
…1010001010000000
312210210211001001122
42012013022022000
514102001223202
61011133451412
7106520612300
oct20607121200
95723731048
102250023552
11a55096aa7
12529640b68
1329b1c76aa
14174b7d600
15d27ed9a2
hex861ca280

2250023552 has 96 divisors (see below), whose sum is σ = 5300681940. Its totient is φ = 948326400.

The previous prime is 2250023497. The next prime is 2250023579. The reversal of 2250023552 is 2553200522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2218033216 + 31990336 = 47096^2 + 5656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379652 + ... + 385532.

Almost surely, 22250023552 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 2250023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650340970).

2250023552 is an abundant number, since it is smaller than the sum of its proper divisors (3050658388).

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

2250023552 is an equidigital number, since it uses as much as digits as its factorization.

2250023552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5970 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 2250023552 is about 47434.4131617542. The cubic root of 2250023552 is about 1310.3752692145.

The spelling of 2250023552 in words is "two billion, two hundred fifty million, twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 392 427 448 488 784 854 896 976 1568 1708 1952 2989 3136 3416 3904 5881 5978 6272 6832 7808 11762 11956 13664 23524 23912 27328 41167 47048 47824 54656 82334 94096 95648 164668 188192 191296 288169 329336 358741 376384 382592 576338 658672 717482 752768 1152676 1317344 1434964 2305352 2511187 2634688 2869928 4610704 5022374 5269376 5739856 9221408 10044748 11479712 17578309 18442816 20089496 22959424 35156618 36885632 40178992 45918848 70313236 80357984 140626472 160715968 281252944 321431936 562505888 1125011776 2250023552