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2256795860 = 2251127137853
BaseRepresentation
bin1000011010000011…
…1111100011010100
312211021120002220212
42012200333203110
514110214431420
61011534544552
7106632306524
oct20640774324
95737502825
102256795860
11a589a2150
1252b968158
1329c729087
14175a23684
15d31da3c5
hex8683f8d4

2256795860 has 48 divisors (see below), whose sum is σ = 5189329152. Its totient is φ = 817603200.

The previous prime is 2256795829. The next prime is 2256795881. The reversal of 2256795860 is 685976522.

It is a junction number, because it is equal to n+sod(n) for n = 2256795799 and 2256795808.

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, 40694 + ... + 78546.

It is an arithmetic number, because the mean of its divisors is an integer number (108111024).

Almost surely, 22256795860 is an apocalyptic number.

2256795860 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 2256795860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594664576).

2256795860 is an abundant number, since it is smaller than the sum of its proper divisors (2932533292).

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

2256795860 is a wasteful number, since it uses less digits than its factorization.

2256795860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38144 (or 38142 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 2256795860 is about 47505.7455472493. The cubic root of 2256795860 is about 1311.6886445447.

The spelling of 2256795860 in words is "two billion, two hundred fifty-six million, seven hundred ninety-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5420 5962 11924 14905 29810 37853 59620 75706 151412 189265 378530 416383 757060 832766 1665532 2081915 4163830 8327660 10258163 20516326 41032652 51290815 102581630 112839793 205163260 225679586 451359172 564198965 1128397930 2256795860