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2264980 = 225269421
BaseRepresentation
bin1000101000111110010100
311021001222011
420220332110
51034434410
6120314004
725152304
oct10507624
94231864
102264980
111307793
12912904
13613c33
1442d604
152eb18a
hex228f94

2264980 has 24 divisors (see below), whose sum is σ = 4785480. Its totient is φ = 900480.

The previous prime is 2264959. The next prime is 2265001. The reversal of 2264980 is 894622.

It is an interprime number because it is at equal distance from previous prime (2264959) and next prime (2265001).

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 2067844 = 444^2 + 1438^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5170 + ... + 5590.

It is an arithmetic number, because the mean of its divisors is an integer number (199395).

22264980 is an apocalyptic number.

2264980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264980 is an abundant number, since it is smaller than the sum of its proper divisors (2520500).

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

2264980 is a wasteful number, since it uses less digits than its factorization.

2264980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2264980 is about 1504.9850497596. The cubic root of 2264980 is about 131.3272319450.

The spelling of 2264980 in words is "two million, two hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 269 421 538 842 1076 1345 1684 2105 2690 4210 5380 8420 113249 226498 452996 566245 1132490 2264980