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88212 = 2237351
BaseRepresentation
bin10101100010010100
311111000010
4111202110
510310322
61520220
7515115
oct254224
9144003
1088212
1160303
1243070
13311c7
142420c
151b20c
hex15894

88212 has 12 divisors (see below), whose sum is σ = 205856. Its totient is φ = 29400.

The previous prime is 88211. The next prime is 88223. The reversal of 88212 is 21288.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3664 + ... + 3687.

288212 is an apocalyptic number.

It is an amenable number.

88212 is an abundant number, since it is smaller than the sum of its proper divisors (117644).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102928).

88212 is a wasteful number, since it uses less digits than its factorization.

88212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7356 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 88212 is about 297.0050504621. The cubic root of 88212 is about 44.5152916348.

It can be divided in two parts, 88 and 212, that added together give a triangular number (300 = T24).

The spelling of 88212 in words is "eighty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 7351 14702 22053 29404 44106 88212