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73231116 = 22371495851
BaseRepresentation
bin1000101110101…
…10101100001100
312002210112012120
410113112230030
5122221343431
611133332540
71546311540
oct427265414
9162715176
1073231116
1138378692
1220637150
131223042a
149a23a20
156668196
hex45d6b0c

73231116 has 48 divisors (see below), whose sum is σ = 196627200. Its totient is φ = 20779200.

The previous prime is 73231097. The next prime is 73231117. The reversal of 73231116 is 61113237.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73231117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9591 + ... + 15441.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 273231116 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 73231116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98313600).

73231116 is an abundant number, since it is smaller than the sum of its proper divisors (123396084).

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

73231116 is a wasteful number, since it uses less digits than its factorization.

73231116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 6012 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 73231116 is about 8557.5180981404. The cubic root of 73231116 is about 418.3745107780.

The spelling of 73231116 in words is "seventy-three million, two hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 5851 6258 11702 12516 17553 23404 35106 40957 70212 81914 122871 163828 245742 491484 871799 1743598 2615397 3487196 5230794 6102593 10461588 12205186 18307779 24410372 36615558 73231116