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2245649728 = 26719925189
BaseRepresentation
bin1000010111011001…
…1110010101000000
312210111120211022011
42011312132111000
514044341242403
61010500022304
7106435464520
oct20566362500
95714524264
102245649728
11a52679973
12528091994
1329a32592a
14174361680
15d2237a6d
hex85d9e540

2245649728 has 56 divisors (see below), whose sum is σ = 5118608000. Its totient is φ = 957547008.

The previous prime is 2245649717. The next prime is 2245649737. The reversal of 2245649728 is 8279465422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76558 + ... + 101746.

Almost surely, 22245649728 is an apocalyptic number.

2245649728 is a gapful number since it is divisible by the number (28) 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 2245649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559304000).

2245649728 is an abundant number, since it is smaller than the sum of its proper divisors (2872958272).

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

2245649728 is a wasteful number, since it uses less digits than its factorization.

2245649728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25407 (or 25397 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The square root of 2245649728 is about 47388.2868228004. The cubic root of 2245649728 is about 1309.5256383237.

The spelling of 2245649728 in words is "two billion, two hundred forty-five million, six hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 199 224 398 448 796 1393 1592 2786 3184 5572 6368 11144 12736 22288 25189 44576 50378 89152 100756 176323 201512 352646 403024 705292 806048 1410584 1612096 2821168 5012611 5642336 10025222 11284672 20050444 35088277 40100888 70176554 80201776 140353108 160403552 280706216 320807104 561412432 1122824864 2245649728