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2290100 = 225222901
BaseRepresentation
bin1000101111000110110100
311022100102112
420233012310
51041240400
6121030152
725315451
oct10570664
94270375
102290100
11132464a
12925358
136224b7
14438828
15303835
hex22f1b4

2290100 has 18 divisors (see below), whose sum is σ = 4969734. Its totient is φ = 916000.

The previous prime is 2290097. The next prime is 2290117. The reversal of 2290100 is 10922.

2290100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 682276 + 1607824 = 826^2 + 1268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11351 + ... + 11550.

22290100 is an apocalyptic number.

2290100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2290100 is an abundant number, since it is smaller than the sum of its proper divisors (2679634).

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

2290100 is a wasteful number, since it uses less digits than its factorization.

2290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22915 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2290100 is about 1513.3076356115. The cubic root of 2290100 is about 131.8109476086.

The spelling of 2290100 in words is "two million, two hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22901 45802 91604 114505 229010 458020 572525 1145050 2290100