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18022144 = 28789113
BaseRepresentation
bin100010010111…
…1111100000000
31020220121201211
41010233330000
514103202034
61442135504
7306120460
oct104577400
936817654
1018022144
11a19a338
126051594
1339700ba
142571ba0
1518aed64
hex112ff00

18022144 has 72 divisors (see below), whose sum is σ = 41942880. Its totient is φ = 7569408.

The previous prime is 18022141. The next prime is 18022153. The reversal of 18022144 is 44122081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18022141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159432 + ... + 159544.

It is an arithmetic number, because the mean of its divisors is an integer number (582540).

Almost surely, 218022144 is an apocalyptic number.

18022144 is a gapful number since it is divisible by the number (14) 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 18022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971440).

18022144 is an abundant number, since it is smaller than the sum of its proper divisors (23920736).

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

18022144 is an equidigital number, since it uses as much as digits as its factorization.

18022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 18022144 is about 4245.2495804134. The cubic root of 18022144 is about 262.1815651905.

The spelling of 18022144 in words is "eighteen million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 113 128 178 224 226 256 356 448 452 623 712 791 896 904 1246 1424 1582 1792 1808 2492 2848 3164 3616 4984 5696 6328 7232 9968 10057 11392 12656 14464 19936 20114 22784 25312 28928 39872 40228 50624 70399 79744 80456 101248 140798 159488 160912 202496 281596 321824 563192 643648 1126384 1287296 2252768 2574592 4505536 9011072 18022144