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214114640 = 2452676433
BaseRepresentation
bin11001100001100…
…10000101010000
3112220220011001212
430300302011100
5414303132030
633125115252
75206641635
oct1460620520
9486804055
10214114640
11aa953553
125b858b28
133548996c
142061818c
1513be6595
hexcc32150

214114640 has 20 divisors (see below), whose sum is σ = 497816724. Its totient is φ = 85645824.

The previous prime is 214114633. The next prime is 214114679. The reversal of 214114640 is 46411412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50069776 + 164044864 = 7076^2 + 12808^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1338137 + ... + 1338296.

Almost surely, 2214114640 is an apocalyptic number.

214114640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214114640 is an abundant number, since it is smaller than the sum of its proper divisors (283702084).

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

214114640 is a wasteful number, since it uses less digits than its factorization.

214114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676446 (or 2676440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 214114640 is about 14632.6566282408. The cubic root of 214114640 is about 598.2491923867.

The spelling of 214114640 in words is "two hundred fourteen million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2676433 5352866 10705732 13382165 21411464 26764330 42822928 53528660 107057320 214114640