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2292880 = 24528661
BaseRepresentation
bin1000101111110010010000
311022111020111
420233302100
51041333010
6121051104
725326532
oct10576220
94274214
102292880
111326747
12926a94
13623845
14439852
1530458a
hex22fc90

2292880 has 20 divisors (see below), whose sum is σ = 5331132. Its totient is φ = 917120.

The previous prime is 2292877. The next prime is 2292881. The reversal of 2292880 is 882922.

It can be written as a sum of positive squares in 2 ways, for example, as 1721344 + 571536 = 1312^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14251 + ... + 14410.

22292880 is an apocalyptic number.

2292880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2292880 is an abundant number, since it is smaller than the sum of its proper divisors (3038252).

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

2292880 is a wasteful number, since it uses less digits than its factorization.

2292880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28674 (or 28668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2292880 is about 1514.2258748285. The cubic root of 2292880 is about 131.8642620578.

The spelling of 2292880 in words is "two million, two hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28661 57322 114644 143305 229288 286610 458576 573220 1146440 2292880