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212205424 = 24173312357
BaseRepresentation
bin11001010010111…
…11111101110000
3112210022011010011
430221133331300
5413311033144
633020144304
75154500464
oct1451377560
9483264104
10212205424
11a986a092
125b098094
1334c6b952
142027c4a4
151396aa34
hexca5ff70

212205424 has 40 divisors (see below), whose sum is σ = 436833648. Its totient is φ = 99517440.

The previous prime is 212205361. The next prime is 212205431. The reversal of 212205424 is 424502212.

It is a super-2 number, since 2×2122054242 = 90062283950039552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212205395 and 212205404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88854 + ... + 91210.

Almost surely, 2212205424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212205424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218416824).

212205424 is an abundant number, since it is smaller than the sum of its proper divisors (224628224).

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

212205424 is a wasteful number, since it uses less digits than its factorization.

212205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 212205424 is about 14567.2723596424. The cubic root of 212205424 is about 596.4657260938.

Adding to 212205424 its reverse (424502212), we get a palindrome (636707636).

The spelling of 212205424 in words is "two hundred twelve million, two hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 331 662 1324 2357 2648 4714 5296 5627 9428 11254 18856 22508 37712 40069 45016 80138 90032 160276 320552 641104 780167 1560334 3120668 6241336 12482672 13262839 26525678 53051356 106102712 212205424