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212629 = 19331
BaseRepresentation
bin110011111010010101
3101210200011
4303322111
523301004
64320221
71543624
oct637225
9353604
10212629
1113582a
12a3071
1375a21
14576bb
1543004
hex33e95

212629 has 8 divisors (see below), whose sum is σ = 231680. Its totient is φ = 194940.

The previous prime is 212627. The next prime is 212633. The reversal of 212629 is 926212.

It can be divided in two parts, 212 and 629, that added together give a square (841 = 292).

212629 = T375 + T376 + T377.

It is a happy number.

It is not a de Polignac number, because 212629 - 21 = 212627 is a prime.

It is a super-2 number, since 2×2126292 = 90422183282, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6844 + ... + 6874.

It is an arithmetic number, because the mean of its divisors is an integer number (28960).

2212629 is an apocalyptic number.

212629 is the 377-th centered triangular number.

It is an amenable number.

212629 is a deficient number, since it is larger than the sum of its proper divisors (19051).

212629 is an frugal number, since it uses more digits than its factorization.

212629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 212629 is about 461.1171217814. The cubic root of 212629 is about 59.6862323954.

The spelling of 212629 in words is "two hundred twelve thousand, six hundred twenty-nine".

Divisors: 1 19 31 361 589 6859 11191 212629