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214889280 = 2635223843
BaseRepresentation
bin11001100111011…
…11001101000000
3112222100111200020
430303233031000
5420002424110
633153453440
75216346234
oct1463571500
9488314606
10214889280
11100332551
125bb71280
133569b428
142077a5c4
1513cead70
hexccef340

214889280 has 56 divisors (see below), whose sum is σ = 682276512. Its totient is φ = 57303552.

The previous prime is 214889263. The next prime is 214889281. The reversal of 214889280 is 82988412.

214889280 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214889281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110962 + ... + 112881.

Almost surely, 2214889280 is an apocalyptic number.

214889280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214889280 is an abundant number, since it is smaller than the sum of its proper divisors (467387232).

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

214889280 is a wasteful number, since it uses less digits than its factorization.

214889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223863 (or 223853 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 214889280 is about 14659.1022917503. The cubic root of 214889280 is about 598.9697876722.

The spelling of 214889280 in words is "two hundred fourteen million, eight hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 223843 447686 671529 895372 1119215 1343058 1790744 2238430 2686116 3357645 3581488 4476860 5372232 6715290 7162976 8953720 10744464 13430580 14325952 17907440 21488928 26861160 35814880 42977856 53722320 71629760 107444640 214889280