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2265040 = 245231231
BaseRepresentation
bin1000101000111111010000
311021002001101
420220333100
51034440130
6120314144
725152421
oct10507720
94232041
102265040
111307838
12912954
13613c7b
1442d648
152eb1ca
hex228fd0

2265040 has 40 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 865920.

The previous prime is 2265019. The next prime is 2265049. The reversal of 2265040 is 405622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2264999 and 2265017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225 + ... + 2455.

22265040 is an apocalyptic number.

2265040 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 2265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2265040 is an abundant number, since it is smaller than the sum of its proper divisors (3234608).

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

2265040 is a wasteful number, since it uses less digits than its factorization.

2265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2265040 is about 1505.0049833805. The cubic root of 2265040 is about 131.3283915674.

The spelling of 2265040 in words is "two million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1231 1840 2462 4924 6155 9848 12310 19696 24620 28313 49240 56626 98480 113252 141565 226504 283130 453008 566260 1132520 2265040