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213928032 = 2532228417
BaseRepresentation
bin11001100000001…
…00100001100000
3112220112200002110
430300010201200
5414231144112
633121115320
75205233613
oct1460044140
9486480073
10213928032
11aa83632a
125b788b40
1335422a46
14205aa17a
1513bab13c
hexcc04860

213928032 has 24 divisors (see below), whose sum is σ = 561561336. Its totient is φ = 71309312.

The previous prime is 213928031. The next prime is 213928061. The reversal of 213928032 is 230829312.

It is a happy number.

213928032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213928031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1114113 + ... + 1114304.

It is an arithmetic number, because the mean of its divisors is an integer number (23398389).

Almost surely, 2213928032 is an apocalyptic number.

It is an amenable number.

213928032 is an abundant number, since it is smaller than the sum of its proper divisors (347633304).

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

213928032 is a wasteful number, since it uses less digits than its factorization.

213928032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228430 (or 2228422 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 213928032 is about 14626.2788158848. The cubic root of 213928032 is about 598.0753438772.

It can be divided in two parts, 2139280 and 32, that added together give a palindrome (2139312).

The spelling of 213928032 in words is "two hundred thirteen million, nine hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2228417 4456834 6685251 8913668 13370502 17827336 26741004 35654672 53482008 71309344 106964016 213928032