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2155744900 = 225246432
BaseRepresentation
bin1000000001111110…
…0000111010000100
312120020102012001201
42000133200322010
513403332314100
6553525032244
7104264346361
oct20037407204
95506365051
102155744900
11a06953061
12501b55684
132848080ca
1416643b468
15c93c936a
hex807e0e84

2155744900 has 27 divisors (see below), whose sum is σ = 4678974181. Its totient is φ = 862112240.

The previous prime is 2155744879. The next prime is 2155744901. The reversal of 2155744900 is 94475512.

The square root of 2155744900 is 46430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 776068164 + 1379676736 = 27858^2 + 37144^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2155744900.

It is not an unprimeable number, because it can be changed into a prime (2155744901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 461979 + ... + 466621.

Almost surely, 22155744900 is an apocalyptic number.

2155744900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2155744900 is the 46430-th square number.

It is an amenable number.

2155744900 is an abundant number, since it is smaller than the sum of its proper divisors (2523229281).

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

2155744900 is an frugal number, since it uses more digits than its factorization.

2155744900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The cubic root of 2155744900 is about 1291.8114287054.

The spelling of 2155744900 in words is "two billion, one hundred fifty-five million, seven hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4643 9286 18572 23215 46430 92860 116075 232150 464300 21557449 43114898 86229796 107787245 215574490 431148980 538936225 1077872450 2155744900