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212023424 = 2714911117
BaseRepresentation
bin11001010001100…
…11100010000000
3112202221220110102
430220303202000
5413234222144
633012221532
75153112044
oct1450634200
9482856412
10212023424
11a9755378
125b00a8a8
1334c06b62
1420232024
1513931b4e
hexca33880

212023424 has 32 divisors (see below), whose sum is σ = 425263500. Its totient is φ = 105290752.

The previous prime is 212023387. The next prime is 212023429. The reversal of 212023424 is 424320212.

It can be written as a sum of positive squares in 2 ways, for example, as 173185600 + 38837824 = 13160^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 212023396 and 212023405.

It is not an unprimeable number, because it can be changed into a prime (212023429) 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, 13514 + ... + 24630.

Almost surely, 2212023424 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 212023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212631750).

212023424 is an abundant number, since it is smaller than the sum of its proper divisors (213240076).

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

212023424 is a wasteful number, since it uses less digits than its factorization.

212023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11280 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 212023424 is about 14561.0241398056. The cubic root of 212023424 is about 596.2951558199.

Adding to 212023424 its reverse (424320212), we get a palindrome (636343636).

The spelling of 212023424 in words is "two hundred twelve million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 4768 9536 11117 19072 22234 44468 88936 177872 355744 711488 1422976 1656433 3312866 6625732 13251464 26502928 53005856 106011712 212023424