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214655640 = 23357922643
BaseRepresentation
bin11001100101101…
…10001010011000
3112221220122011220
430302312022120
5414422440030
633144452040
75214354123
oct1462661230
9487818156
10214655640
11100192a61
125ba7a020
1335618c94
14207193ba
1513ca1a10
hexccb6298

214655640 has 64 divisors (see below), whose sum is σ = 652147200. Its totient is φ = 56514432.

The previous prime is 214655579. The next prime is 214655657. The reversal of 214655640 is 46556412.

It is a congruent number.

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, 1842 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (10189800).

Almost surely, 2214655640 is an apocalyptic number.

214655640 is a gapful number since it is divisible by the number (20) 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 214655640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326073600).

214655640 is an abundant number, since it is smaller than the sum of its proper divisors (437491560).

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

214655640 is a wasteful number, since it uses less digits than its factorization.

214655640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22736 (or 22732 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 214655640 is about 14651.1310143620. The cubic root of 214655640 is about 598.7526308028.

The spelling of 214655640 in words is "two hundred fourteen million, six hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 22643 45286 67929 90572 113215 135858 181144 226430 271716 339645 452860 543432 679290 905720 1358580 1788797 2717160 3577594 5366391 7155188 8943985 10732782 14310376 17887970 21465564 26831955 35775940 42931128 53663910 71551880 107327820 214655640