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2250832590 = 233546717851
BaseRepresentation
bin1000011000101000…
…1111101011001110
312210212100010212000
42012022033223032
514102203120330
61011203053130
7106530522066
oct20612175316
95725303760
102250832590
11a55599926
125299711a6
1329b41ba06
14174d103a6
15d290d560
hex8628face

2250832590 has 64 divisors (see below), whose sum is σ = 6015409920. Its totient is φ = 598903200.

The previous prime is 2250832553. The next prime is 2250832603. The reversal of 2250832590 is 952380522.

2250832590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22508325902 = 10132494696412216200, which contains 22 as substring.

It is a congruent number.

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, 117165 + ... + 135015.

It is an arithmetic number, because the mean of its divisors is an integer number (93990780).

Almost surely, 22250832590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250832590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007704960).

2250832590 is an abundant number, since it is smaller than the sum of its proper divisors (3764577330).

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

2250832590 is a wasteful number, since it uses less digits than its factorization.

2250832590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2250832590 is about 47442.9403599735. The cubic root of 2250832590 is about 1310.5323070296.

The spelling of 2250832590 in words is "two billion, two hundred fifty million, eight hundred thirty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 467 934 1401 2335 2802 4203 4670 7005 8406 12609 14010 17851 21015 25218 35702 42030 53553 63045 89255 107106 126090 160659 178510 267765 321318 481977 535530 803295 963954 1606590 2409885 4819770 8336417 16672834 25009251 41682085 50018502 75027753 83364170 125046255 150055506 225083259 250092510 375138765 450166518 750277530 1125416295 2250832590