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23722272 = 253272412
BaseRepresentation
bin101101001111…
…1100100100000
31122122012211200
41122133210200
522033103042
62204241200
7405431100
oct132374440
948565750
1023722272
1112432992
127b40200
134bb7762
143217200
152138c4c
hex169f920

23722272 has 162 divisors, whose sum is σ = 80434809. Its totient is φ = 6612480.

The previous prime is 23722271. The next prime is 23722297. The reversal of 23722272 is 27222732.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 6780816 = 4116^2 + 2604^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3444.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (4704) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (23722271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 578572 + ... + 578612.

Almost surely, 223722272 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 23722272

23722272 is an abundant number, since it is smaller than the sum of its proper divisors (56712537).

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

23722272 is a wasteful number, since it uses less digits than its factorization.

23722272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its digits is 4704, while the sum is 27.

The square root of 23722272 is about 4870.5515088129. The cubic root of 23722272 is about 287.3329469343.

The spelling of 23722272 in words is "twenty-three million, seven hundred twenty-two thousand, two hundred seventy-two".