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2265930 = 2325171481
BaseRepresentation
bin1000101001001101001010
311021010021100
420221031022
51040002210
6120322230
725155132
oct10511512
94233240
102265930
111308477
12913376
136144b4
1442dac2
152eb5c0
hex22934a

2265930 has 48 divisors (see below), whose sum is σ = 6242184. Its totient is φ = 568320.

The previous prime is 2265911. The next prime is 2265941. The reversal of 2265930 is 395622.

2265930 is a `hidden beast` number, since 2 + 2 + 659 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1996569 + 269361 = 1413^2 + 519^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2265894 and 2265903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790 + ... + 2270.

22265930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121092).

2265930 is an abundant number, since it is smaller than the sum of its proper divisors (3976254).

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

2265930 is a wasteful number, since it uses less digits than its factorization.

2265930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2265930 is about 1505.3006344249. The cubic root of 2265930 is about 131.3455902281.

The spelling of 2265930 in words is "two million, two hundred sixty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1481 1530 2962 4443 7405 8886 13329 14810 22215 25177 26658 44430 50354 66645 75531 125885 133290 151062 226593 251770 377655 453186 755310 1132965 2265930