Search a number
-
+
212442411400 = 23521062212057
BaseRepresentation
bin1100010111011010001…
…1011111000110001000
3202022100110212200012021
43011312203133012020
511440040224131100
6241332242054224
721230343462622
oct3056643370610
9668313780167
10212442411400
118210722602a
123520a64a374
131705802459b
14a3d4783c12
1557d5984a1a
hex31768df188

212442411400 has 24 divisors (see below), whose sum is σ = 493928606970. Its totient is φ = 84976964480.

The previous prime is 212442411371. The next prime is 212442411413. The reversal of 212442411400 is 4114244212.

It is a happy number.

212442411400 is digitally balanced in base 2, 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 3 ways, for example, as 115911649764 + 96530761636 = 340458^2 + 310694^2 .

It is a super-2 number, since 2×2124424114002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 531105829 + ... + 531106228.

Almost surely, 2212442411400 is an apocalyptic number.

212442411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212442411400 is an abundant number, since it is smaller than the sum of its proper divisors (281486195570).

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

212442411400 is a wasteful number, since it uses less digits than its factorization.

212442411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062212073 (or 1062212064 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 212442411400 its reverse (4114244212), we get a palindrome (216556655612).

The spelling of 212442411400 in words is "two hundred twelve billion, four hundred forty-two million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1062212057 2124424114 4248848228 5311060285 8497696456 10622120570 21244241140 26555301425 42488482280 53110602850 106221205700 212442411400