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2252708536 = 2313137223709
BaseRepresentation
bin1000011001000101…
…1001101010111000
312210222212110011111
42012101121222320
514103143133121
61011311210104
7106552464241
oct20621315270
95728773144
102252708536
11a566602a1
1252a516934
1329b927840
1417527bcc8
15d2b7e2e1
hex86459ab8

2252708536 has 64 divisors (see below), whose sum is σ = 4608979200. Its totient is φ = 1026044928.

The previous prime is 2252708531. The next prime is 2252708567. The reversal of 2252708536 is 6358072522.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252708531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176950 + ... + 3177658.

It is an arithmetic number, because the mean of its divisors is an integer number (72015300).

Almost surely, 22252708536 is an apocalyptic number.

2252708536 is a gapful number since it is divisible by the number (26) 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 2252708536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304489600).

2252708536 is an abundant number, since it is smaller than the sum of its proper divisors (2356270664).

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

2252708536 is a wasteful number, since it uses less digits than its factorization.

2252708536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2252708536 is about 47462.7067917539. The cubic root of 2252708536 is about 1310.8962916223.

The spelling of 2252708536 in words is "two billion, two hundred fifty-two million, seven hundred eight thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 137 223 274 446 548 709 892 1096 1418 1781 1784 2836 2899 3562 5672 5798 7124 9217 11596 14248 18434 23192 30551 36868 61102 73736 97133 122204 158107 194266 244408 316214 388532 397163 632428 777064 794326 1262729 1264856 1588652 2055391 2525458 3177304 4110782 5050916 8221564 10101832 16443128 21660659 43321318 86642636 173285272 281588567 563177134 1126354268 2252708536