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18222468 = 223111271087
BaseRepresentation
bin100010110000…
…0110110000100
31021021210112020
41011200312010
514131104333
61450323140
7310613505
oct105406604
937253466
1018222468
11a3168a0
1261294b0
133a10334
1425c4bac
1518ee3b3
hex1160d84

18222468 has 48 divisors (see below), whose sum is σ = 46792704. Its totient is φ = 5473440.

The previous prime is 18222461. The next prime is 18222473. The reversal of 18222468 is 86422281.

It is a happy number.

It is a super-2 number, since 2×182224682 = 664116680022048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18222461) 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, 16221 + ... + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (974848).

Almost surely, 218222468 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 18222468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23396352).

18222468 is an abundant number, since it is smaller than the sum of its proper divisors (28570236).

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

18222468 is a wasteful number, since it uses less digits than its factorization.

18222468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 18222468 is about 4268.7782795549. The cubic root of 18222468 is about 263.1494088576.

The spelling of 18222468 in words is "eighteen million, two hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1087 1397 1524 2174 2794 3261 4191 4348 5588 6522 8382 11957 13044 16764 23914 35871 47828 71742 138049 143484 276098 414147 552196 828294 1518539 1656588 3037078 4555617 6074156 9111234 18222468