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18220032 = 21033659
BaseRepresentation
bin100010110000…
…0010000000000
31021021200012000
41011200100000
514131020112
61450304000
7310603425
oct105402000
937250160
1018220032
11a314a86
126128000
133a0c1ac
1425c3d4c
1518ed7dc
hex1160400

18220032 has 88 divisors (see below), whose sum is σ = 54040800. Its totient is φ = 6064128.

The previous prime is 18219989. The next prime is 18220049. The reversal of 18220032 is 23002281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18219987 and 18220014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27319 + ... + 27977.

It is an arithmetic number, because the mean of its divisors is an integer number (614100).

Almost surely, 218220032 is an apocalyptic number.

18220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27020400).

18220032 is an abundant number, since it is smaller than the sum of its proper divisors (35820768).

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

18220032 is an equidigital number, since it uses as much as digits as its factorization.

18220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 18220032 is about 4268.4929424798. The cubic root of 18220032 is about 263.1376822988.

The spelling of 18220032 in words is "eighteen million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 659 768 864 1024 1152 1318 1536 1728 1977 2304 2636 3072 3456 3954 4608 5272 5931 6912 7908 9216 10544 11862 13824 15816 17793 21088 23724 27648 31632 35586 42176 47448 63264 71172 84352 94896 126528 142344 168704 189792 253056 284688 337408 379584 506112 569376 674816 759168 1012224 1138752 1518336 2024448 2277504 3036672 4555008 6073344 9110016 18220032