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72182226223 = 3741359132541
BaseRepresentation
bin100001100111001100…
…1010101110100101111
320220022111121000111001
41003032121111310233
52140312122214343
653054323341131
75133512541142
oct1031631256457
9226274530431
1072182226223
1128680a91a18
1211ba58217a7
136a64594c83
1436ca788059
151d26ebb44d
hex10ce655d2f

72182226223 has 16 divisors (see below), whose sum is σ = 76153331520. Its totient is φ = 68327020800.

The previous prime is 72182226211. The next prime is 72182226227. The reversal of 72182226223 is 32262228127.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72182226223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72182226227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478333 + ... + 610873.

It is an arithmetic number, because the mean of its divisors is an integer number (4759583220).

Almost surely, 272182226223 is an apocalyptic number.

72182226223 is a deficient number, since it is larger than the sum of its proper divisors (3971105297).

72182226223 is a wasteful number, since it uses less digits than its factorization.

72182226223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132978.

The product of its digits is 64512, while the sum is 37.

It can be divided in two parts, 7218 and 2226223, that added together give a triangular number (2233441 = T2113).

The spelling of 72182226223 in words is "seventy-two billion, one hundred eighty-two million, two hundred twenty-six thousand, two hundred twenty-three".

Divisors: 1 37 41 359 1517 13283 14719 132541 544603 4904017 5434181 47582219 201064697 1760542103 1950870979 72182226223