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212992 = 21413
BaseRepresentation
bin110100000000000000
3101211011121
4310000000
523303432
64322024
71544653
oct640000
9354147
10212992
1113602a
12a3314
1375c40
145789a
1543197
hex34000

212992 has 30 divisors (see below), whose sum is σ = 458738. Its totient is φ = 98304.

The previous prime is 212987. The next prime is 212999. The reversal of 212992 is 299212.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 65536 = 384^2 + 256^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 4 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16378 + ... + 16390.

2212992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229369).

212992 is an abundant number, since it is smaller than the sum of its proper divisors (245746).

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

212992 is an frugal number, since it uses more digits than its factorization.

212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 15 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 212992 is about 461.5105632594. The cubic root of 212992 is about 59.7201785091.

The spelling of 212992 in words is "two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 53248 106496 212992