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2150290900 = 2252171264877
BaseRepresentation
bin1000000000101010…
…1101010111010100
312112212011002120201
42000022231113110
513400433302100
6553212110244
7104200112452
oct20012552724
95485132521
102150290900
11a0386841a
12500165384
132836487a4
1416581b9d2
15c8b9d36a
hex802ad5d4

2150290900 has 36 divisors (see below), whose sum is σ = 4940613468. Its totient is φ = 809520640.

The previous prime is 2150290841. The next prime is 2150290921. The reversal of 2150290900 is 90920512.

It can be written as a sum of positive squares in 6 ways, for example, as 22867524 + 2127423376 = 4782^2 + 46124^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630739 + ... + 634138.

It is an arithmetic number, because the mean of its divisors is an integer number (137239263).

Almost surely, 22150290900 is an apocalyptic number.

2150290900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150290900 is an abundant number, since it is smaller than the sum of its proper divisors (2790322568).

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

2150290900 is a wasteful number, since it uses less digits than its factorization.

2150290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264908 (or 1264901 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 2150290900 is about 46371.2292267522. The cubic root of 2150290900 is about 1290.7210879454.

The spelling of 2150290900 in words is "two billion, one hundred fifty million, two hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1264877 2529754 5059508 6324385 12648770 21502909 25297540 31621925 43005818 63243850 86011636 107514545 126487700 215029090 430058180 537572725 1075145450 2150290900