Search a number
-
+
2032222212 = 22322910119273
BaseRepresentation
bin111100100100001…
…0100000000000100
312020121222120210100
41321020110000010
513130222102322
6533353324100
7101234414046
oct17110240004
95217876710
102032222212
11953155699
12488706630
13265049967
14153c85a96
15bd629dac
hex79214004

2032222212 has 72 divisors (see below), whose sum is σ = 5367038040. Its totient is φ = 647539200.

The previous prime is 2032222193. The next prime is 2032222219. The reversal of 2032222212 is 2122222302.

It can be written as a sum of positive squares in 4 ways, for example, as 996412356 + 1035809856 = 31566^2 + 32184^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2032222219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95808 + ... + 115080.

It is an arithmetic number, because the mean of its divisors is an integer number (74542195).

Almost surely, 22032222212 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 2032222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683519020).

2032222212 is an abundant number, since it is smaller than the sum of its proper divisors (3334815828).

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

2032222212 is a wasteful number, since it uses less digits than its factorization.

2032222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2032222212 is about 45080.1753767662. The cubic root of 2032222212 is about 1266.6512750053.

Adding to 2032222212 its reverse (2122222302), we get a palindrome (4154444514).

The spelling of 2032222212 in words is "two billion, thirty-two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 261 303 348 404 522 606 909 1044 1212 1818 2929 3636 5858 8787 11716 17574 19273 26361 35148 38546 52722 57819 77092 105444 115638 173457 231276 346914 558917 693828 1117834 1676751 1946573 2235668 3353502 3893146 5030253 5839719 6707004 7786292 10060506 11679438 17519157 20121012 23358876 35038314 56450617 70076628 112901234 169351851 225802468 338703702 508055553 677407404 1016111106 2032222212