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214888000 = 265326861
BaseRepresentation
bin11001100111011…
…10111001000000
3112222100102220211
430303232321000
5420002404000
633153443504
75216342425
oct1463567100
9488312824
10214888000
11100331598
125bb70594
133569a982
1420779d4c
1513cea7ba
hexcceee40

214888000 has 56 divisors (see below), whose sum is σ = 532189944. Its totient is φ = 85952000.

The previous prime is 214887997. The next prime is 214888019. The reversal of 214888000 is 888412.

214888000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53699584 + 161188416 = 7328^2 + 12696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5431 + ... + 21430.

Almost surely, 2214888000 is an apocalyptic number.

214888000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214888000 is an abundant number, since it is smaller than the sum of its proper divisors (317301944).

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

214888000 is an equidigital number, since it uses as much as digits as its factorization.

214888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26888 (or 26868 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 214888000 is about 14659.0586328045. The cubic root of 214888000 is about 598.9685984042.

The spelling of 214888000 in words is "two hundred fourteen million, eight hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 26861 53722 107444 134305 214888 268610 429776 537220 671525 859552 1074440 1343050 1719104 2148880 2686100 3357625 4297760 5372200 6715250 8595520 10744400 13430500 21488800 26861000 42977600 53722000 107444000 214888000