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2250313344 = 27324634219
BaseRepresentation
bin1000011000100001…
…0000111010000000
312210211100202120200
42012020100322000
514102040011334
61011144005200
7106523230206
oct20610207200
95724322520
102250313344
11a552747a4
12529760800
1329b299576
14174c17076
15d2859799
hex86210e80

2250313344 has 96 divisors (see below), whose sum is σ = 6491035200. Its totient is φ = 748306944.

The previous prime is 2250313339. The next prime is 2250313349. The reversal of 2250313344 is 4433130522.

2250313344 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 313 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (2250313339) and next prime (2250313349).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2250313349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531267 + ... + 535485.

It is an arithmetic number, because the mean of its divisors is an integer number (67614950).

Almost surely, 22250313344 is an apocalyptic number.

2250313344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245517600).

2250313344 is an abundant number, since it is smaller than the sum of its proper divisors (4240721856).

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

2250313344 is a wasteful number, since it uses less digits than its factorization.

2250313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2250313344 is about 47437.4677233092. The cubic root of 2250313344 is about 1310.4315234358.

Adding to 2250313344 its reverse (4433130522), we get a palindrome (6683443866).

The spelling of 2250313344 in words is "two billion, two hundred fifty million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 463 576 926 1152 1389 1852 2778 3704 4167 4219 5556 7408 8334 8438 11112 12657 14816 16668 16876 22224 25314 29632 33336 33752 37971 44448 50628 59264 66672 67504 75942 88896 101256 133344 135008 151884 177792 202512 266688 270016 303768 405024 533376 540032 607536 810048 1215072 1620096 1953397 2430144 3906794 4860288 5860191 7813588 11720382 15627176 17580573 23440764 31254352 35161146 46881528 62508704 70322292 93763056 125017408 140644584 187526112 250034816 281289168 375052224 562578336 750104448 1125156672 2250313344