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214550432 = 2519595981
BaseRepresentation
bin11001100100111…
…00011110100000
3112221201021212022
430302130132200
5414411103212
633142321012
75213435315
oct1462343640
9487637768
10214550432
11100120a08
125ba29168
13355b0125
14206ccd0c
1513c80772
hexcc9c7a0

214550432 has 48 divisors (see below), whose sum is σ = 452239200. Its totient is φ = 99889920.

The previous prime is 214550423. The next prime is 214550449. The reversal of 214550432 is 234055412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32882 + ... + 38862.

It is an arithmetic number, because the mean of its divisors is an integer number (9421650).

Almost surely, 2214550432 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 214550432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226119600).

214550432 is an abundant number, since it is smaller than the sum of its proper divisors (237688768).

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

214550432 is a wasteful number, since it uses less digits than its factorization.

214550432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 214550432 is about 14647.5401347803. The cubic root of 214550432 is about 598.6547936947.

The spelling of 214550432 in words is "two hundred fourteen million, five hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 4484 5981 8968 11962 17936 23924 35872 47848 95696 113639 191392 227278 352879 454556 705758 909112 1411516 1818224 2823032 3636448 5646064 6704701 11292128 13409402 26818804 53637608 107275216 214550432