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72230122433 = 729617576683
BaseRepresentation
bin100001101000101000…
…0000011001111000001
320220102211201101201202
41003101100003033001
52140411402404213
653103154110545
75134633624220
oct1032120031701
9226384641652
1072230122433
11286a6026067
1211bb987b455
136a71494921
1436d2c94cb7
151d2b2ccb58
hex10d14033c1

72230122433 has 16 divisors (see below), whose sum is σ = 85533770880. Its totient is φ = 59679666816.

The previous prime is 72230122409. The next prime is 72230122451. The reversal of 72230122433 is 33422103227.

It is a happy number.

It is not a de Polignac number, because 72230122433 - 234 = 55050253249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72230122396 and 72230122405.

It is not an unprimeable number, because it can be changed into a prime (72230122453) 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, 163091 + ... + 413592.

It is an arithmetic number, because the mean of its divisors is an integer number (5345860680).

Almost surely, 272230122433 is an apocalyptic number.

It is an amenable number.

72230122433 is a deficient number, since it is larger than the sum of its proper divisors (13303648447).

72230122433 is a wasteful number, since it uses less digits than its factorization.

72230122433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577336.

The product of its (nonzero) digits is 12096, while the sum is 29.

The spelling of 72230122433 in words is "seventy-two billion, two hundred thirty million, one hundred twenty-two thousand, four hundred thirty-three".

Divisors: 1 7 29 203 617 4319 17893 125251 576683 4036781 16723807 117066649 355813411 2490693877 10318588919 72230122433