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212202112 = 2715110979
BaseRepresentation
bin11001010010111…
…11001010000000
3112210021222120111
430221133022000
5413310431422
633020121104
75154455023
oct1451371200
9483258514
10212202112
11a9867651
125b096194
1334c6a2a5
142027b1ba
1513969a77
hexca5f280

212202112 has 32 divisors (see below), whose sum is σ = 425584800. Its totient is φ = 105388800.

The previous prime is 212202091. The next prime is 212202139. The reversal of 212202112 is 211202212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 212202092 and 212202101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13839 + ... + 24817.

It is an arithmetic number, because the mean of its divisors is an integer number (13299525).

Almost surely, 2212202112 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 212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212792400).

212202112 is an abundant number, since it is smaller than the sum of its proper divisors (213382688).

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

212202112 is a wasteful number, since it uses less digits than its factorization.

212202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144 (or 11132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 212202112 is about 14567.1586797151. The cubic root of 212202112 is about 596.4626229611.

Adding to 212202112 its reverse (211202212), we get a palindrome (423404324).

It can be divided in two parts, 21220 and 2112, that added together give a palindrome (23332).

The spelling of 212202112 in words is "two hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 1208 2416 4832 9664 10979 19328 21958 43916 87832 175664 351328 702656 1405312 1657829 3315658 6631316 13262632 26525264 53050528 106101056 212202112