Search a number
-
+
72230112 = 2532250799
BaseRepresentation
bin1000100111000…
…10010011100000
312000220200002100
410103202103200
5121442330422
611100050400
71534642263
oct423422340
9160820070
1072230112
1137854609
1220233a00
1311c6c916
149842cda
15651b7ac
hex44e24e0

72230112 has 36 divisors (see below), whose sum is σ = 205405200. Its totient is φ = 24076608.

The previous prime is 72230047. The next prime is 72230113. The reversal of 72230112 is 21103227.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72230113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125112 + ... + 125687.

It is an arithmetic number, because the mean of its divisors is an integer number (5705700).

Almost surely, 272230112 is an apocalyptic number.

72230112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72230112 is an abundant number, since it is smaller than the sum of its proper divisors (133175088).

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

72230112 is a wasteful number, since it uses less digits than its factorization.

72230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250815 (or 250804 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72230112 is about 8498.8300371286. The cubic root of 72230112 is about 416.4594898215.

Adding to 72230112 its reverse (21103227), we get a palindrome (93333339).

The spelling of 72230112 in words is "seventy-two million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 250799 501598 752397 1003196 1504794 2006392 2257191 3009588 4012784 4514382 6019176 8025568 9028764 12038352 18057528 24076704 36115056 72230112