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2193806264 = 2313312512711
BaseRepresentation
bin1000001011000010…
…1101001110111000
312122220000220102212
42002300231032320
513443103300024
61001404514252
7105236021426
oct20260551670
95586026385
102193806264
11a2638a131
1251284b988
1328c673420
1416b508116
15cc8e6a0e
hex82c2d3b8

2193806264 has 64 divisors (see below), whose sum is σ = 4592609280. Its totient is φ = 975600000.

The previous prime is 2193806261. The next prime is 2193806269. The reversal of 2193806264 is 4626083912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193806261) 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, 807869 + ... + 810579.

It is an arithmetic number, because the mean of its divisors is an integer number (71759520).

Almost surely, 22193806264 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 2193806264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296304640).

2193806264 is an abundant number, since it is smaller than the sum of its proper divisors (2398803016).

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

2193806264 is a wasteful number, since it uses less digits than its factorization.

2193806264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 2193806264 is about 46838.0856141666. The cubic root of 2193806264 is about 1299.3697663100.

The spelling of 2193806264 in words is "two billion, one hundred ninety-three million, eight hundred six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 251 403 502 806 1004 1612 2008 2711 3224 3263 5422 6526 7781 10844 13052 15562 21688 26104 31124 35243 62248 70486 84041 101153 140972 168082 202306 281944 336164 404612 672328 680461 809224 1092533 1360922 2185066 2721844 4370132 5443688 8740264 8845993 17691986 21094291 35383972 42188582 70767944 84377164 168754328 274225783 548451566 1096903132 2193806264