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2266900 = 225222669
BaseRepresentation
bin1000101001011100010100
311021011121021
420221130110
51040020100
6120330524
725161016
oct10513424
94234537
102266900
111309179
12913a44
13614a7c
144301b6
152eba1a
hex229714

2266900 has 18 divisors (see below), whose sum is σ = 4919390. Its totient is φ = 906720.

The previous prime is 2266897. The next prime is 2266907. The reversal of 2266900 is 96622.

It can be written as a sum of positive squares in 3 ways, for example, as 633616 + 1633284 = 796^2 + 1278^2 .

It is a super-2 number, since 2×22669002 = 10277671220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11235 + ... + 11434.

22266900 is an apocalyptic number.

2266900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266900 is an abundant number, since it is smaller than the sum of its proper divisors (2652490).

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

2266900 is a wasteful number, since it uses less digits than its factorization.

2266900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22683 (or 22676 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2266900 is about 1505.6227947265. The cubic root of 2266900 is about 131.3643297076.

The spelling of 2266900 in words is "two million, two hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22669 45338 90676 113345 226690 453380 566725 1133450 2266900