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212203024 = 24112109609
BaseRepresentation
bin11001010010111…
…11011000010000
3112210022000211021
430221133120100
5413310444044
633020125224
75154460465
oct1451373020
9483260737
10212203024
11a9868300
125b096814
1334c6a827
142027b66c
1513969e84
hexca5f610

212203024 has 30 divisors (see below), whose sum is σ = 451922030. Its totient is φ = 96455040.

The previous prime is 212203021. The next prime is 212203087. The reversal of 212203024 is 420302212.

212203024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 208282624 + 3920400 = 14432^2 + 1980^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 212202989 and 212203007.

It is not an unprimeable number, because it can be changed into a prime (212203021) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52869 + ... + 56740.

Almost surely, 2212203024 is an apocalyptic number.

It is an amenable number.

212203024 is an abundant number, since it is smaller than the sum of its proper divisors (239719006).

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

212203024 is a wasteful number, since it uses less digits than its factorization.

212203024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109639 (or 109622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212203024 is about 14567.1899829720. The cubic root of 212203024 is about 596.4634774501.

Adding to 212203024 its reverse (420302212), we get a palindrome (632505236).

The spelling of 212203024 in words is "two hundred twelve million, two hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 109609 219218 438436 876872 1205699 1753744 2411398 4822796 9645592 13262689 19291184 26525378 53050756 106101512 212203024