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2249565696 = 29377241
BaseRepresentation
bin1000011000010101…
…1010011000000000
312210202221210000000
42012011122120000
514101342100241
61011120000000
7106513664400
oct20605323000
95722853000
102249565696
11a54904004
12529460000
1329b097181
14174aa0800
15d275ceb6
hex8615a600

2249565696 has 480 divisors, whose sum is σ = 8032923360. Its totient is φ = 627056640.

The previous prime is 2249565679. The next prime is 2249565713. The reversal of 2249565696 is 6965659422.

2249565696 is a `hidden beast` number, since 2 + 2 + 495 + 65 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2249565679) and next prime (2249565713).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54867436 + ... + 54867476.

It is an arithmetic number, because the mean of its divisors is an integer number (16735257).

Almost surely, 22249565696 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 2249565696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016461680).

2249565696 is an abundant number, since it is smaller than the sum of its proper divisors (5783357664).

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

2249565696 is an frugal number, since it uses more digits than its factorization.

2249565696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 2249565696 is about 47429.5867154670. The cubic root of 2249565696 is about 1310.2863806814.

The spelling of 2249565696 in words is "two billion, two hundred forty-nine million, five hundred sixty-five thousand, six hundred ninety-six".