Search a number
-
+
72226264 = 2311820753
BaseRepresentation
bin1000100111000…
…01010111011000
312000220110210211
410103201113120
5121442220024
611100020504
71534625125
oct423412730
9160813724
1072226264
1137851730
1220231734
1311c6ac46
14984174c
15651a594
hex44e15d8

72226264 has 16 divisors (see below), whose sum is σ = 147735720. Its totient is φ = 32830080.

The previous prime is 72226247. The next prime is 72226267. The reversal of 72226264 is 46262227.

It is a super-3 number, since 3×722262643 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72226267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 410289 + ... + 410464.

Almost surely, 272226264 is an apocalyptic number.

It is an amenable number.

72226264 is an abundant number, since it is smaller than the sum of its proper divisors (75509456).

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

72226264 is a wasteful number, since it uses less digits than its factorization.

72226264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820770 (or 820766 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 72226264 is about 8498.6036500122. The cubic root of 72226264 is about 416.4520941775.

The spelling of 72226264 in words is "seventy-two million, two hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 820753 1641506 3283012 6566024 9028283 18056566 36113132 72226264