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212388 = 223111609
BaseRepresentation
bin110011110110100100
3101210100020
4303312210
523244023
64315140
71543131
oct636644
9353306
10212388
11135630
12a2ab0
1375897
1457588
1542de3
hex33da4

212388 has 24 divisors (see below), whose sum is σ = 540960. Its totient is φ = 64320.

The previous prime is 212383. The next prime is 212411. The reversal of 212388 is 883212.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212388.

It is not an unprimeable number, because it can be changed into a prime (212383) by changing a digit.

212388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 673 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (22540).

2212388 is an apocalyptic number.

It is an amenable number.

212388 is an abundant number, since it is smaller than the sum of its proper divisors (328572).

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

212388 is a wasteful number, since it uses less digits than its factorization.

212388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 212388 is about 460.8557257971. The cubic root of 212388 is about 59.6636738232.

It can be divided in two parts, 2123 and 88, that added together give a triangular number (2211 = T66).

The spelling of 212388 in words is "two hundred twelve thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1609 3218 4827 6436 9654 17699 19308 35398 53097 70796 106194 212388