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23083218 = 234891601
BaseRepresentation
bin101100000001…
…1100011010010
31121102202020000
41120003203102
521402130333
62142430430
7400130004
oct130034322
947382200
1023083218
1112036844
127892416
134a22912
1430cc374
15205e713
hex16038d2

23083218 has 40 divisors (see below), whose sum is σ = 52337340. Its totient is φ = 7603200.

The previous prime is 23083211. The next prime is 23083223. The reversal of 23083218 is 81238032.

It can be written as a sum of positive squares in 2 ways, for example, as 22155849 + 927369 = 4707^2 + 963^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23083191 and 23083200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23083211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13618 + ... + 15218.

Almost surely, 223083218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23083218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168670).

23083218 is an abundant number, since it is smaller than the sum of its proper divisors (29254122).

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

23083218 is a wasteful number, since it uses less digits than its factorization.

23083218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23083218 is about 4804.4997658445. The cubic root of 23083218 is about 284.7292719966.

The spelling of 23083218 in words is "twenty-three million, eighty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1601 1602 2403 3202 4803 4806 7209 9606 14409 14418 28818 43227 86454 129681 142489 259362 284978 427467 854934 1282401 2564802 3847203 7694406 11541609 23083218