Search a number
-
+
2264320212 = 223711191011277
BaseRepresentation
bin1000011011110110…
…1100100011010100
312211210201101101120
42012331230203110
514114131221322
61012404123540
7110053255440
oct20675544324
95753641346
102264320212
11a62171320
125323965b0
132a1161b5b
14176a21820
15d3bc4a5c
hex86f6c8d4

2264320212 has 192 divisors, whose sum is σ = 7007938560. Its totient is φ = 551232000.

The previous prime is 2264320207. The next prime is 2264320213. The reversal of 2264320212 is 2120234622.

It is a happy number.

2264320212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264320213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1772518 + ... + 1773794.

It is an arithmetic number, because the mean of its divisors is an integer number (36499680).

Almost surely, 22264320212 is an apocalyptic number.

2264320212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503969280).

2264320212 is an abundant number, since it is smaller than the sum of its proper divisors (4743618348).

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

2264320212 is a wasteful number, since it uses less digits than its factorization.

2264320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264320212 is about 47584.8737730805. The cubic root of 2264320212 is about 1313.1447884544.

Adding to 2264320212 its reverse (2120234622), we get a palindrome (4384554834).

The spelling of 2264320212 in words is "two billion, two hundred sixty-four million, three hundred twenty thousand, two hundred twelve".