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212985132 = 223137129553
BaseRepresentation
bin11001011000111…
…10010100101100
3112211202202200020
430230132110230
5414011011012
633045002140
75164225623
oct1454362454
9484682606
10212985132
11aa251978
125b3b3350
1335182809
14204026ba
1513a71a8c
hexcb1e52c

212985132 has 24 divisors (see below), whose sum is σ = 500596656. Its totient is φ = 70476288.

The previous prime is 212985109. The next prime is 212985137. The reversal of 212985132 is 231589212.

It is a happy number.

212985132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212985093 and 212985102.

It is not an unprimeable number, because it can be changed into a prime (212985137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63133 + ... + 66420.

It is an arithmetic number, because the mean of its divisors is an integer number (20858194).

Almost surely, 2212985132 is an apocalyptic number.

It is an amenable number.

212985132 is an abundant number, since it is smaller than the sum of its proper divisors (287611524).

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

212985132 is a wasteful number, since it uses less digits than its factorization.

212985132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129697 (or 129695 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 212985132 is about 14594.0101411504. The cubic root of 212985132 is about 597.1953660297.

The spelling of 212985132 in words is "two hundred twelve million, nine hundred eighty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1644 129553 259106 388659 518212 777318 1554636 17748761 35497522 53246283 70995044 106492566 212985132