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2260900 = 225223983
BaseRepresentation
bin1000100111111110100100
311020212101001
420213332210
51034322100
6120243044
725134355
oct10477644
94225331
102260900
111304714
12910484
13612115
1442bd2c
152e9d6a
hex227fa4

2260900 has 36 divisors (see below), whose sum is σ = 5124672. Its totient is φ = 864160.

The previous prime is 2260891. The next prime is 2260903. The reversal of 2260900 is 90622.

It is a super-2 number, since 2×22609002 = 10223337620000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2260903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1809 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (142352).

22260900 is an apocalyptic number.

2260900 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 2260900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562336).

2260900 is an abundant number, since it is smaller than the sum of its proper divisors (2863772).

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

2260900 is a wasteful number, since it uses less digits than its factorization.

2260900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2260900 is about 1503.6289435895. The cubic root of 2260900 is about 131.2483295328.

It can be divided in two parts, 2260 and 900, that added together give a triangular number (3160 = T79).

The spelling of 2260900 in words is "two million, two hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 983 1150 1966 2300 3932 4915 9830 19660 22609 24575 45218 49150 90436 98300 113045 226090 452180 565225 1130450 2260900