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214240432 = 24717311057
BaseRepresentation
bin11001100010100…
…00110010110000
3112221010112121211
430301100302300
5414321143212
633131525504
75211004450
oct1461206260
9487115554
10214240432
11aaa2a00a
125b8b9894
1335501cb3
142064bd60
1513c1d9a7
hexcc50cb0

214240432 has 40 divisors (see below), whose sum is σ = 477174816. Its totient is φ = 91278336.

The previous prime is 214240421. The next prime is 214240483. The reversal of 214240432 is 234042412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13848 + ... + 24904.

Almost surely, 2214240432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238587408).

214240432 is an abundant number, since it is smaller than the sum of its proper divisors (262934384).

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

214240432 is a wasteful number, since it uses less digits than its factorization.

214240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 214240432 is about 14636.9543280014. The cubic root of 214240432 is about 598.3663262577.

Adding to 214240432 its reverse (234042412), we get a palindrome (448282844).

The spelling of 214240432 in words is "two hundred fourteen million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 11057 19376 22114 44228 77399 88456 154798 176912 309596 619192 1238384 1912861 3825722 7651444 13390027 15302888 26780054 30605776 53560108 107120216 214240432