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212313300 = 22352707711
BaseRepresentation
bin11001010011110…
…10010011010100
3112210111122002120
430221322103110
5413323011200
633022335540
75155430133
oct1451722324
9483448076
10212313300
11a9933141
125b12a5b0
1334ca8a94
14202a991a
151398c9a0
hexca7a4d4

212313300 has 36 divisors (see below), whose sum is σ = 614294016. Its totient is φ = 56616800.

The previous prime is 212313287. The next prime is 212313301. The reversal of 212313300 is 3313212.

212313300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353556 + ... + 354155.

Almost surely, 2212313300 is an apocalyptic number.

212313300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212313300 is an abundant number, since it is smaller than the sum of its proper divisors (401980716).

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

212313300 is a wasteful number, since it uses less digits than its factorization.

212313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707728 (or 707721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 212313300 is about 14570.9745727594. The cubic root of 212313300 is about 596.5667813751.

Adding to 212313300 its reverse (3313212), we get a palindrome (215626512).

It can be divided in two parts, 21231 and 3300, that added together give a triangular number (24531 = T221).

The spelling of 212313300 in words is "two hundred twelve million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 707711 1415422 2123133 2830844 3538555 4246266 7077110 8492532 10615665 14154220 17692775 21231330 35385550 42462660 53078325 70771100 106156650 212313300