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2250942512 = 247135926203
BaseRepresentation
bin1000011000101010…
…1010100000110000
312210212112201122012
42012022222200300
514102220130022
61011205302052
7106531460420
oct20612524060
95725481565
102250942512
11a55664475
12529a04928
1329b459a60
14174d3c480
15d2930de2
hex862aa830

2250942512 has 80 divisors (see below), whose sum is σ = 5458817280. Its totient is φ = 875356416.

The previous prime is 2250942461. The next prime is 2250942527. The reversal of 2250942512 is 2152490522.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72803 + ... + 99005.

It is an arithmetic number, because the mean of its divisors is an integer number (68235216).

Almost surely, 22250942512 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 2250942512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729408640).

2250942512 is an abundant number, since it is smaller than the sum of its proper divisors (3207874768).

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

2250942512 is a wasteful number, since it uses less digits than its factorization.

2250942512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26290 (or 26284 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2250942512 is about 47444.0988111272. The cubic root of 2250942512 is about 1310.5536404668.

The spelling of 2250942512 in words is "two billion, two hundred fifty million, nine hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 91 104 112 118 182 208 236 364 413 472 728 767 826 944 1456 1534 1652 3068 3304 5369 6136 6608 10738 12272 21476 26203 42952 52406 85904 104812 183421 209624 340639 366842 419248 681278 733684 1362556 1467368 1545977 2384473 2725112 2934736 3091954 4768946 5450224 6183908 9537892 10821839 12367816 19075784 20097701 21643678 24735632 38151568 40195402 43287356 80390804 86574712 140683907 160781608 173149424 281367814 321563216 562735628 1125471256 2250942512