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212088 = 2338837
BaseRepresentation
bin110011110001111000
3101202221010
4303301320
523241323
64313520
71542222
oct636170
9352833
10212088
11135388
12a28a0
13756c6
1457412
1542c93
hex33c78

212088 has 16 divisors (see below), whose sum is σ = 530280. Its totient is φ = 70688.

The previous prime is 212081. The next prime is 212099. The reversal of 212088 is 880212.

212088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212081) 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, 4395 + ... + 4442.

2212088 is an apocalyptic number.

It is an amenable number.

212088 is an abundant number, since it is smaller than the sum of its proper divisors (318192).

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

212088 is a wasteful number, since it uses less digits than its factorization.

212088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8842 counting only the distinct ones).

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

The square root of 212088 is about 460.5301293075. The cubic root of 212088 is about 59.6355687571.

It can be divided in two parts, 2 and 12088, that added together give a triangular number (12090 = T155).

The spelling of 212088 in words is "two hundred twelve thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 8837 17674 26511 35348 53022 70696 106044 212088