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2265960 = 233523821
BaseRepresentation
bin1000101001001101101000
311021010022110
420221031220
51040002320
6120322320
725155204
oct10511550
94233273
102265960
1113084a4
129133a0
13614508
1442db04
152eb5e0
hex229368

2265960 has 64 divisors (see below), whose sum is σ = 7102080. Its totient is φ = 577280.

The previous prime is 2265953. The next prime is 2265979. The reversal of 2265960 is 695622.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

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, 2350 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (110970).

22265960 is an apocalyptic number.

2265960 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 2265960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551040).

2265960 is an abundant number, since it is smaller than the sum of its proper divisors (4836120).

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

2265960 is a wasteful number, since it uses less digits than its factorization.

2265960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2265960 is about 1505.3105991788. The cubic root of 2265960 is about 131.3461698797.

The spelling of 2265960 in words is "two million, two hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 821 920 1380 1642 2463 2760 3284 4105 4926 6568 8210 9852 12315 16420 18883 19704 24630 32840 37766 49260 56649 75532 94415 98520 113298 151064 188830 226596 283245 377660 453192 566490 755320 1132980 2265960