Search a number
-
+
72122202 = 2324006789
BaseRepresentation
bin1000100110001…
…11111101011010
312000201012001200
410103013331122
5121430402302
611053455030
71534012545
oct423077532
9160635050
1072122202
1137790529
12201a1476
1311c32779
14981585c
1564e981c
hex44c7f5a

72122202 has 12 divisors (see below), whose sum is σ = 156264810. Its totient is φ = 24040728.

The previous prime is 72122179. The next prime is 72122209. The reversal of 72122202 is 20222127.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45279441 + 26842761 = 6729^2 + 5181^2 .

It is a super-2 number, since 2×721222022 = 10403224042657608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4006789 = 72122202 / (7 + 2 + 1 + 2 + 2 + 2 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (72122209) 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, 2003377 + ... + 2003412.

Almost surely, 272122202 is an apocalyptic number.

72122202 is an abundant number, since it is smaller than the sum of its proper divisors (84142608).

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

72122202 is a wasteful number, since it uses less digits than its factorization.

72122202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006797 (or 4006794 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72122202 is about 8492.4791433362. The cubic root of 72122202 is about 416.2519930646.

Adding to 72122202 its reverse (20222127), we get a palindrome (92344329).

The spelling of 72122202 in words is "seventy-two million, one hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 4006789 8013578 12020367 24040734 36061101 72122202