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214042432 = 2610133113
BaseRepresentation
bin11001100001000…
…00011101000000
3112220202111000111
430300200131000
5414243324212
633123401104
75206221262
oct1460403500
9486674014
10214042432
11aa90427a
125b823194
1335462b36
14205d9b32
1513bceea7
hexcc20740

214042432 has 28 divisors (see below), whose sum is σ = 428958756. Its totient is φ = 105958400.

The previous prime is 214042403. The next prime is 214042441. The reversal of 214042432 is 234240412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 139806976 + 74235456 = 11824^2 + 8616^2 .

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, 10093 + ... + 23020.

Almost surely, 2214042432 is an apocalyptic number.

It is an amenable number.

214042432 is an abundant number, since it is smaller than the sum of its proper divisors (214916324).

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

214042432 is a wasteful number, since it uses less digits than its factorization.

214042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33226 (or 33216 counting only the distinct ones).

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

The square root of 214042432 is about 14630.1890623464. The cubic root of 214042432 is about 598.1819336592.

Adding to 214042432 its reverse (234240412), we get a palindrome (448282844).

The spelling of 214042432 in words is "two hundred fourteen million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 33113 66226 132452 264904 529808 1059616 2119232 3344413 6688826 13377652 26755304 53510608 107021216 214042432