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214932144 = 2437639679
BaseRepresentation
bin11001100111110…
…01101010110000
3112222102200110210
430303321222300
5420010312034
633154424120
75216615220
oct1463715260
9488380423
10214932144
11100361779
125bb92040
13356b4aab
142078c080
1513d088e9
hexccf9ab0

214932144 has 40 divisors (see below), whose sum is σ = 634562560. Its totient is φ = 61409088.

The previous prime is 214932131. The next prime is 214932239. The reversal of 214932144 is 441239412.

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, 319504 + ... + 320175.

It is an arithmetic number, because the mean of its divisors is an integer number (15864064).

Almost surely, 2214932144 is an apocalyptic number.

214932144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214932144 is an abundant number, since it is smaller than the sum of its proper divisors (419630416).

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

214932144 is a wasteful number, since it uses less digits than its factorization.

214932144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639697 (or 639691 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 214932144 is about 14660.5642456217. The cubic root of 214932144 is about 599.0096105585.

The spelling of 214932144 in words is "two hundred fourteen million, nine hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 639679 1279358 1919037 2558716 3838074 4477753 5117432 7676148 8955506 10234864 13433259 15352296 17911012 26866518 30704592 35822024 53733036 71644048 107466072 214932144