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2250622560 = 253519723801
BaseRepresentation
bin1000011000100101…
…1100011001100000
312210211221110202010
42012021130121200
514102124410220
61011154352520
7106525655544
oct20611343140
95724843663
102250622560
11a5546604a
1252988b740
1329b377234
14174c97a24
15d28bb1e0
hex8625c660

2250622560 has 96 divisors (see below), whose sum is σ = 7125747552. Its totient is φ = 597094400.

The previous prime is 2250622529. The next prime is 2250622597. The reversal of 2250622560 is 652260522.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82660 + ... + 106460.

It is an arithmetic number, because the mean of its divisors is an integer number (74226537).

Almost surely, 22250622560 is an apocalyptic number.

2250622560 is a gapful number since it is divisible by the number (20) 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 2250622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562873776).

2250622560 is an abundant number, since it is smaller than the sum of its proper divisors (4875124992).

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

2250622560 is a wasteful number, since it uses less digits than its factorization.

2250622560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24016 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2250622560 is about 47440.7268072486. The cubic root of 2250622560 is about 1310.4915429048.

The spelling of 2250622560 in words is "two billion, two hundred fifty million, six hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 23801 31520 47280 47602 71403 94560 95204 119005 142806 190408 238010 285612 357015 380816 476020 571224 714030 761632 952040 1142448 1428060 1904080 2284896 2856120 3808160 4688797 5712240 9377594 11424480 14066391 18755188 23443985 28132782 37510376 46887970 56265564 70331955 75020752 93775940 112531128 140663910 150041504 187551880 225062256 281327820 375103760 450124512 562655640 750207520 1125311280 2250622560