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2265940 = 225196789
BaseRepresentation
bin1000101001001101010100
311021010021201
420221031110
51040002230
6120322244
725155145
oct10511524
94233251
102265940
111308486
12913384
136144c1
1442dacc
152eb5ca
hex229354

2265940 has 48 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 836352.

The previous prime is 2265911. The next prime is 2265941. The reversal of 2265940 is 495622.

It is a junction number, because it is equal to n+sod(n) for n = 2265899 and 2265908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25416 + ... + 25504.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

22265940 is an apocalyptic number.

2265940 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 2265940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2265940 is an abundant number, since it is smaller than the sum of its proper divisors (2874860).

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

2265940 is a wasteful number, since it uses less digits than its factorization.

2265940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2265940 is about 1505.3039560169. The cubic root of 2265940 is about 131.3457834459.

The spelling of 2265940 in words is "two million, two hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 89 95 134 178 190 268 335 356 380 445 670 890 1273 1340 1691 1780 2546 3382 5092 5963 6365 6764 8455 11926 12730 16910 23852 25460 29815 33820 59630 113297 119260 226594 453188 566485 1132970 2265940