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213210828 = 223223257501
BaseRepresentation
bin11001011010101…
…01011011001100
3112212012020021100
430231111123030
5414040221303
633053503100
75166155625
oct1455253314
9485166240
10213210828
11aa3964a6
125b4a1a90
133523146c
1420460a4c
1513ab88a3
hexcb556cc

213210828 has 36 divisors (see below), whose sum is σ = 562384368. Its totient is φ = 67980000.

The previous prime is 213210827. The next prime is 213210863. The reversal of 213210828 is 828012312.

213210828 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 (36).

It is not an unprimeable number, because it can be changed into a prime (213210827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127923 + ... + 129578.

It is an arithmetic number, because the mean of its divisors is an integer number (15621788).

Almost surely, 2213210828 is an apocalyptic number.

It is an amenable number.

213210828 is an abundant number, since it is smaller than the sum of its proper divisors (349173540).

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

213210828 is a wasteful number, since it uses less digits than its factorization.

213210828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257534 (or 257529 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 213210828 is about 14601.7405811773. The cubic root of 213210828 is about 597.4062368114.

The spelling of 213210828 in words is "two hundred thirteen million, two hundred ten thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 257501 515002 772503 1030004 1545006 2317509 3090012 4635018 5922523 9270036 11845046 17767569 23690092 35535138 53302707 71070276 106605414 213210828