Search a number
-
+
2230313232 = 2437173761173
BaseRepresentation
bin1000010011101111…
…1110000100010000
312202102201122120210
42010323332010100
514031430010412
61005151204120
7106161230640
oct20473760420
95672648523
102230313232
11a44a54384
12522b16640
132970b6094
141722cc520
15d0c0883c
hex84efe110

2230313232 has 320 divisors, whose sum is σ = 7319960064. Its totient is φ = 570654720.

The previous prime is 2230313191. The next prime is 2230313257. The reversal of 2230313232 is 2323130322.

It is a super-2 number, since 2×22303132322 = 9948594225668571648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2230313199 and 2230313208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12891898 + ... + 12892070.

Almost surely, 22230313232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659980032).

2230313232 is an abundant number, since it is smaller than the sum of its proper divisors (5089646832).

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

2230313232 is a wasteful number, since it uses less digits than its factorization.

2230313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2230313232 is about 47226.1922242308. The cubic root of 2230313232 is about 1306.5377237518.

Adding to 2230313232 its reverse (2323130322), we get a palindrome (4553443554).

The spelling of 2230313232 in words is "two billion, two hundred thirty million, three hundred thirteen thousand, two hundred thirty-two".