Search a number
-
+
2203739136 = 210341632
BaseRepresentation
bin1000001101011010…
…0110010000000000
312200120201112210000
42003112212100000
514003124123021
61002401440000
7105416321304
oct20326462000
95616645700
102203739136
11a30a53915
12516040000
13291740571
1416c971d04
15cd709b26
hex835a6400

2203739136 has 165 divisors, whose sum is σ = 6621416571. Its totient is φ = 730073088.

The previous prime is 2203739117. The next prime is 2203739137. The reversal of 2203739136 is 6319373022.

The square root of 2203739136 is 46944.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2203739136.

It is not an unprimeable number, because it can be changed into a prime (2203739137) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13519791 + ... + 13519953.

Almost surely, 22203739136 is an apocalyptic number.

2203739136 is the 46944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2203739136

2203739136 is an abundant number, since it is smaller than the sum of its proper divisors (4417677435).

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

2203739136 is an frugal number, since it uses more digits than its factorization.

2203739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The cubic root of 2203739136 is about 1301.3278613643.

Multiplying 2203739136 by its sum of digits (36), we get a square (79334608896 = 2816642).

2203739136 divided by its sum of digits (36) gives a square (61214976 = 78242).

The spelling of 2203739136 in words is "two billion, two hundred three million, seven hundred thirty-nine thousand, one hundred thirty-six".