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2497222656 = 2113345161
BaseRepresentation
bin1001010011011000…
…1001100000000000
320110000222001111000
42110312021200000
520103242111111
61051444052000
7115612020345
oct22466114000
96400861430
102497222656
111071687385
12598394000
1330a499256
1419992a7cc
15e937cc56
hex94d89800

2497222656 has 96 divisors (see below), whose sum is σ = 7397535600. Its totient is φ = 832389120.

The previous prime is 2497222621. The next prime is 2497222657. The reversal of 2497222656 is 6562227942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24972226562 = 12472241987279388672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2497222657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32716 + ... + 77876.

Almost surely, 22497222656 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 2497222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698767800).

2497222656 is an abundant number, since it is smaller than the sum of its proper divisors (4900312944).

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

2497222656 is an equidigital number, since it uses as much as digits as its factorization.

2497222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45192 (or 45166 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2497222656 is about 49972.2188420726. The cubic root of 2497222656 is about 1356.7060306345.

The spelling of 2497222656 in words is "two billion, four hundred ninety-seven million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 45161 55296 90322 135483 180644 270966 361288 406449 541932 722576 812898 1083864 1219347 1445152 1625796 2167728 2438694 2890304 3251592 4335456 4877388 5780608 6503184 8670912 9754776 11561216 13006368 17341824 19509552 23122432 26012736 34683648 39019104 46244864 52025472 69367296 78038208 92489728 104050944 138734592 156076416 208101888 277469184 312152832 416203776 624305664 832407552 1248611328 2497222656