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212120544 = 2532209589
BaseRepresentation
bin11001010010010…
…11001111100000
3112210010211200110
430221023033200
5413300324134
633014251320
75153665146
oct1451131740
9483124613
10212120544
11a9811339
125b056b40
1334c3c11c
1420259596
15139507e9
hexca4b3e0

212120544 has 24 divisors (see below), whose sum is σ = 556816680. Its totient is φ = 70706816.

The previous prime is 212120537. The next prime is 212120563. The reversal of 212120544 is 445021212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212120544.

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 3 ways as a sum of consecutive naturals, for example, 1104699 + ... + 1104890.

It is an arithmetic number, because the mean of its divisors is an integer number (23200695).

Almost surely, 2212120544 is an apocalyptic number.

212120544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212120544 is an abundant number, since it is smaller than the sum of its proper divisors (344696136).

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

212120544 is a wasteful number, since it uses less digits than its factorization.

212120544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209602 (or 2209594 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 212120544 is about 14564.3586882499. The cubic root of 212120544 is about 596.3861887574.

Adding to 212120544 its reverse (445021212), we get a palindrome (657141756).

The spelling of 212120544 in words is "two hundred twelve million, one hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2209589 4419178 6628767 8838356 13257534 17676712 26515068 35353424 53030136 70706848 106060272 212120544