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72222012 = 223212771571
BaseRepresentation
bin1000100111000…
…00010100111100
312000220020222100
410103200110330
5121442101022
611055545100
71534606542
oct423402474
9160806870
1072222012
1137849515
122022b190
1311c69025
14983dd92
1565191ac
hex44e053c

72222012 has 36 divisors (see below), whose sum is σ = 182820456. Its totient is φ = 24039840.

The previous prime is 72222011. The next prime is 72222019. The reversal of 72222012 is 21022227.

It is a happy number.

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 (72222011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45187 + ... + 46757.

It is an arithmetic number, because the mean of its divisors is an integer number (5078346).

Almost surely, 272222012 is an apocalyptic number.

It is an amenable number.

72222012 is an abundant number, since it is smaller than the sum of its proper divisors (110598444).

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

72222012 is a wasteful number, since it uses less digits than its factorization.

72222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2853 counting only the distinct ones).

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

The square root of 72222012 is about 8498.3534875881. The cubic root of 72222012 is about 416.4439217623.

Adding to 72222012 its reverse (21022227), we get a palindrome (93244239).

The spelling of 72222012 in words is "seventy-two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1277 1571 2554 3142 3831 4713 5108 6284 7662 9426 11493 14139 15324 18852 22986 28278 45972 56556 2006167 4012334 6018501 8024668 12037002 18055503 24074004 36111006 72222012