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218690040 = 233517107201
BaseRepresentation
bin11010000100011…
…11000111111000
3120020111121100010
431002033013320
5421441040130
633411141520
75263556202
oct1502170770
9506447303
10218690040
11102499078
12612a48a0
13363cc3ba
1421089772
15142ec0b0
hexd08f1f8

218690040 has 64 divisors (see below), whose sum is σ = 694668960. Its totient is φ = 54886400.

The previous prime is 218690033. The next prime is 218690041. The reversal of 218690040 is 40096812.

218690040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218690041) 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, 51561 + ... + 55640.

Almost surely, 2218690040 is an apocalyptic number.

218690040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218690040 is an abundant number, since it is smaller than the sum of its proper divisors (475978920).

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

218690040 is a wasteful number, since it uses less digits than its factorization.

218690040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107232 (or 107228 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 218690040 is about 14788.1723008626. The cubic root of 218690040 is about 602.4805087730.

The spelling of 218690040 in words is "two hundred eighteen million, six hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 107201 214402 321603 428804 536005 643206 857608 1072010 1286412 1608015 1822417 2144020 2572824 3216030 3644834 4288040 5467251 6432060 7289668 9112085 10934502 12864120 14579336 18224170 21869004 27336255 36448340 43738008 54672510 72896680 109345020 218690040