Search a number
-
+
212361312 = 2532212097
BaseRepresentation
bin11001010100001…
…10000001100000
3112210121001221210
430222012001200
5413331030222
633023350120
75156020122
oct1452060140
9483531853
10212361312
11a9966219
125b152340
1334cc48a7
14202bd212
151399bd0c
hexca86060

212361312 has 24 divisors (see below), whose sum is σ = 557448696. Its totient is φ = 70787072.

The previous prime is 212361293. The next prime is 212361319. The reversal of 212361312 is 213163212.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2123613122 = 90194653668722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212361319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1105953 + ... + 1106144.

It is an arithmetic number, because the mean of its divisors is an integer number (23227029).

Almost surely, 2212361312 is an apocalyptic number.

It is an amenable number.

212361312 is an abundant number, since it is smaller than the sum of its proper divisors (345087384).

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

212361312 is a wasteful number, since it uses less digits than its factorization.

212361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212110 (or 2212102 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 212361312 is about 14572.6220015480. The cubic root of 212361312 is about 596.6117466937.

The spelling of 212361312 in words is "two hundred twelve million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2212097 4424194 6636291 8848388 13272582 17696776 26545164 35393552 53090328 70787104 106180656 212361312