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212416072 = 23112413819
BaseRepresentation
bin11001010100100…
…11011001001000
3112210200212001221
430222103121020
5413334303242
633024451424
75156335561
oct1452233110
9483625057
10212416072
11a99a3380
125b179b74
13350137ab
14202d5168
15139ad167
hexca93648

212416072 has 16 divisors (see below), whose sum is σ = 434487600. Its totient is φ = 96552720.

The previous prime is 212416051. The next prime is 212416073. The reversal of 212416072 is 270614212.

It is not an unprimeable number, because it can be changed into a prime (212416073) 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, 1206822 + ... + 1206997.

It is an arithmetic number, because the mean of its divisors is an integer number (27155475).

Almost surely, 2212416072 is an apocalyptic number.

212416072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212416072 is an abundant number, since it is smaller than the sum of its proper divisors (222071528).

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

212416072 is a wasteful number, since it uses less digits than its factorization.

212416072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413836 (or 2413832 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 212416072 is about 14574.5007461662. The cubic root of 212416072 is about 596.6630235344.

The spelling of 212416072 in words is "two hundred twelve million, four hundred sixteen thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 2413819 4827638 9655276 19310552 26552009 53104018 106208036 212416072