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212229984 = 2532210729
BaseRepresentation
bin11001010011001…
…01111101100000
3112210100101210210
430221211331200
5413312324414
633020454120
75154632211
oct1451457540
9483311723
10212229984
11a988658a
125b0aa340
1334c79b95
1420287408
1513972e59
hexca65f60

212229984 has 24 divisors (see below), whose sum is σ = 557103960. Its totient is φ = 70743296.

The previous prime is 212229977. The next prime is 212229991. The reversal of 212229984 is 489922212.

212229984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212229977) and next prime (212229991).

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

It is a super-2 number, since 2×2122299842 = 90083132217280512, which contains 22 as substring.

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, 1105269 + ... + 1105460.

It is an arithmetic number, because the mean of its divisors is an integer number (23212665).

Almost surely, 2212229984 is an apocalyptic number.

212229984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212229984 is an abundant number, since it is smaller than the sum of its proper divisors (344873976).

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

212229984 is a wasteful number, since it uses less digits than its factorization.

212229984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210742 (or 2210734 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 212229984 is about 14568.1153207956. The cubic root of 212229984 is about 596.4887362394.

The spelling of 212229984 in words is "two hundred twelve million, two hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2210729 4421458 6632187 8842916 13264374 17685832 26528748 35371664 53057496 70743328 106114992 212229984