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2225596896 = 253219938833
BaseRepresentation
bin1000010010100111…
…1110100111100000
312202002212000222200
42010221332213200
514024223100041
61004502133200
7106103155455
oct20451764740
95662760880
102225596896
11a42322986
12521421200
13296124453
1417182182c
15d05c61b6
hex84a7e9e0

2225596896 has 72 divisors (see below), whose sum is σ = 6361009200. Its totient is φ = 738118656.

The previous prime is 2225596889. The next prime is 2225596931. The reversal of 2225596896 is 6986955222.

2225596896 is a `hidden beast` number, since 2 + 2 + 2 + 559 + 6 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37896 + ... + 76728.

It is an arithmetic number, because the mean of its divisors is an integer number (88347350).

Almost surely, 22225596896 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 2225596896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180504600).

2225596896 is an abundant number, since it is smaller than the sum of its proper divisors (4135412304).

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

2225596896 is a wasteful number, since it uses less digits than its factorization.

2225596896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39048 (or 39037 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 2225596896 is about 47176.2323209474. The cubic root of 2225596896 is about 1305.6161163488.

The spelling of 2225596896 in words is "two billion, two hundred twenty-five million, five hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 14328 19104 28656 38833 57312 77666 116499 155332 232998 310664 349497 465996 621328 698994 931992 1242656 1397988 1863984 2795976 3727968 5591952 7727767 11183904 15455534 23183301 30911068 46366602 61822136 69549903 92733204 123644272 139099806 185466408 247288544 278199612 370932816 556399224 741865632 1112798448 2225596896