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2268252792 = 2332136139727
BaseRepresentation
bin1000011100110010…
…1100101001111000
312212002010011212200
42013030230221320
514121133042132
61013024310200
7110131554621
oct20714545170
95762104780
102268252792
11a64407993
12533772360
132a1c0ab20
14177366a48
15d41eed7c
hex8732ca78

2268252792 has 96 divisors (see below), whose sum is σ = 6724361280. Its totient is φ = 686465280.

The previous prime is 2268252757. The next prime is 2268252797. The reversal of 2268252792 is 2972528622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268252797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37233 + ... + 76959.

It is an arithmetic number, because the mean of its divisors is an integer number (70045430).

Almost surely, 22268252792 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 2268252792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362180640).

2268252792 is an abundant number, since it is smaller than the sum of its proper divisors (4456108488).

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

2268252792 is a wasteful number, since it uses less digits than its factorization.

2268252792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39813 (or 39806 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2268252792 is about 47626.1775917404. The cubic root of 2268252792 is about 1313.9045544122.

The spelling of 2268252792 in words is "two billion, two hundred sixty-eight million, two hundred fifty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 39727 57096 79454 119181 158908 238362 317816 357543 476724 516451 715086 953448 1032902 1430172 1549353 2065804 2423347 2860344 3098706 4131608 4648059 4846694 6197412 7270041 9296118 9693388 12394824 14540082 18592236 19386776 21810123 29080164 31503511 37184472 43620246 58160328 63007022 87240492 94510533 126014044 174480984 189021066 252028088 283531599 378042132 567063198 756084264 1134126396 2268252792