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2250180690 = 235179194801
BaseRepresentation
bin1000011000011111…
…0000100001010010
312210211010000121120
42012013300201102
514102021240230
61011141103110
7106522135362
oct20607604122
95724100546
102250180690
11a5519406a
125296b7a96
1329b251084
14174bc09a2
15d2830310
hex861f0852

2250180690 has 64 divisors (see below), whose sum is σ = 5725520640. Its totient is φ = 564019200.

The previous prime is 2250180671. The next prime is 2250180703. The reversal of 2250180690 is 960810522.

It is a super-2 number, since 2×22501806902 = 10126626275297752200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466290 + ... + 471090.

It is an arithmetic number, because the mean of its divisors is an integer number (89461260).

Almost surely, 22250180690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250180690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862760320).

2250180690 is an abundant number, since it is smaller than the sum of its proper divisors (3475339950).

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

2250180690 is a wasteful number, since it uses less digits than its factorization.

2250180690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2250180690 is about 47436.0695041231. The cubic root of 2250180690 is about 1310.4057733331.

The spelling of 2250180690 in words is "two billion, two hundred fifty million, one hundred eighty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 919 1838 2757 4595 4801 5514 9190 9602 13785 14403 15623 24005 27570 28806 31246 46869 48010 72015 78115 81617 93738 144030 156230 163234 234345 244851 408085 468690 489702 816170 1224255 2448510 4412119 8824238 13236357 22060595 26472714 44121190 66181785 75006023 132363570 150012046 225018069 375030115 450036138 750060230 1125090345 2250180690