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2246900 = 225222469
BaseRepresentation
bin1000100100100011110100
311020011011112
420210203310
51033400100
6120054152
725045505
oct10444364
94204145
102246900
1112a5147
12904358
13608936
14426bac
152e5b35
hex2248f4

2246900 has 18 divisors (see below), whose sum is σ = 4875990. Its totient is φ = 898720.

The previous prime is 2246869. The next prime is 2246903. The reversal of 2246900 is 96422.

It can be written as a sum of positive squares in 3 ways, for example, as 320356 + 1926544 = 566^2 + 1388^2 .

It is a super-2 number, since 2×22469002 = 10097119220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246903) 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, 11135 + ... + 11334.

22246900 is an apocalyptic number.

2246900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246900 is an abundant number, since it is smaller than the sum of its proper divisors (2629090).

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

2246900 is a wasteful number, since it uses less digits than its factorization.

2246900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483 (or 22476 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2246900 is about 1498.9663104953. The cubic root of 2246900 is about 130.9768620635.

The spelling of 2246900 in words is "two million, two hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22469 44938 89876 112345 224690 449380 561725 1123450 2246900