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2114900 = 225221149
BaseRepresentation
bin1000000100010101010100
310222110002122
420010111110
51020134100
6113155112
723655614
oct10042524
93873078
102114900
111214a57
1285ba98
13590828
143d0a44
152bb985
hex204554

2114900 has 18 divisors (see below), whose sum is σ = 4589550. Its totient is φ = 845920.

The previous prime is 2114897. The next prime is 2114933. The reversal of 2114900 is 94112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 2114116 = 28^2 + 1454^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10475 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (254975).

22114900 is an apocalyptic number.

2114900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114900 is an abundant number, since it is smaller than the sum of its proper divisors (2474650).

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

2114900 is a wasteful number, since it uses less digits than its factorization.

2114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21163 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2114900 is about 1454.2695761103. The cubic root of 2114900 is about 128.3600701400.

The spelling of 2114900 in words is "two million, one hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21149 42298 84596 105745 211490 422980 528725 1057450 2114900