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2275520 = 26513547
BaseRepresentation
bin1000101011100011000000
311021121102112
420223203000
51040304040
6120434452
725225112
oct10534300
94247375
102275520
1113146a5
12918a28
13618980
144333b2
152ee365
hex22b8c0

2275520 has 56 divisors (see below), whose sum is σ = 5846064. Its totient is φ = 838656.

The previous prime is 2275513. The next prime is 2275529. The reversal of 2275520 is 255722.

It is a cake number, because a cake can be divided into 2275520 parts by 239 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (2275529) 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, 3887 + ... + 4433.

It is an arithmetic number, because the mean of its divisors is an integer number (104394).

22275520 is an apocalyptic number.

2275520 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 2275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923032).

2275520 is an abundant number, since it is smaller than the sum of its proper divisors (3570544).

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

2275520 is a wasteful number, since it uses less digits than its factorization.

2275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 2275520 is about 1508.4826813722. The cubic root of 2275520 is about 131.5306255685.

The spelling of 2275520 in words is "two million, two hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 547 832 1040 1094 2080 2188 2735 4160 4376 5470 7111 8752 10940 14222 17504 21880 28444 35008 35555 43760 56888 71110 87520 113776 142220 175040 227552 284440 455104 568880 1137760 2275520