Search a number
-
+
212179792 = 24112109597
BaseRepresentation
bin11001010010110…
…01101101010000
3112210020211221211
430221121231100
5413304223132
633015425504
75154332656
oct1451315520
9483224854
10212179792
11a9851900
125b085294
1334c60096
1420272dd6
1513963147
hexca59b50

212179792 has 30 divisors (see below), whose sum is σ = 451872554. Its totient is φ = 96444480.

The previous prime is 212179787. The next prime is 212179801. The reversal of 212179792 is 297971212.

It can be written as a sum of positive squares in only one way, i.e., 212110096 + 69696 = 14564^2 + 264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52863 + ... + 56734.

Almost surely, 2212179792 is an apocalyptic number.

212179792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212179792 is an abundant number, since it is smaller than the sum of its proper divisors (239692762).

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

212179792 is a wasteful number, since it uses less digits than its factorization.

212179792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109627 (or 109610 counting only the distinct ones).

The product of its digits is 31752, while the sum is 40.

The square root of 212179792 is about 14566.3925527222. The cubic root of 212179792 is about 596.4417097031.

The spelling of 212179792 in words is "two hundred twelve million, one hundred seventy-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 109597 219194 438388 876776 1205567 1753552 2411134 4822268 9644536 13261237 19289072 26522474 53044948 106089896 212179792