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218614980 = 223514892447
BaseRepresentation
bin11010000011111…
…00110011000100
3120020100210101010
431001330303010
5421431134410
633405402220
75263124313
oct1501746304
9506323333
10218614980
11102447741
1261269370
13363a419c
142106a27a
15142d4c20
hexd07ccc4

218614980 has 48 divisors (see below), whose sum is σ = 612783360. Its totient is φ = 58234368.

The previous prime is 218614943. The next prime is 218614997. The reversal of 218614980 is 89416812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88117 + ... + 90563.

It is an arithmetic number, because the mean of its divisors is an integer number (12766320).

Almost surely, 2218614980 is an apocalyptic number.

218614980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218614980 is an abundant number, since it is smaller than the sum of its proper divisors (394168380).

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

218614980 is a wasteful number, since it uses less digits than its factorization.

218614980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 218614980 is about 14785.6342440898. The cubic root of 218614980 is about 602.4115719926.

The spelling of 218614980 in words is "two hundred eighteen million, six hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1489 2447 2978 4467 4894 5956 7341 7445 8934 9788 12235 14682 14890 17868 22335 24470 29364 29780 36705 44670 48940 73410 89340 146820 3643583 7287166 10930749 14574332 18217915 21861498 36435830 43722996 54653745 72871660 109307490 218614980