Search a number
-
+
22022313312 = 253229399097
BaseRepresentation
bin10100100000101000…
…011101010101100000
32002211202212102120210
4110200220131111200
5330100203011222
614041130334120
71406506401036
oct244050352540
962752772523
1022022313312
119381026a3a
12432728a340
1320cc66532c
1410ccb0c556
1588d589d0c
hex520a1d560

22022313312 has 24 divisors (see below), whose sum is σ = 57808572696. Its totient is φ = 7340771072.

The previous prime is 22022313311. The next prime is 22022313319. The reversal of 22022313312 is 21331322022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×220223133122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114699453 + ... + 114699644.

It is an arithmetic number, because the mean of its divisors is an integer number (2408690529).

Almost surely, 222022313312 is an apocalyptic number.

It is an amenable number.

22022313312 is an abundant number, since it is smaller than the sum of its proper divisors (35786259384).

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

22022313312 is a wasteful number, since it uses less digits than its factorization.

22022313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229399110 (or 229399102 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22022313312 its reverse (21331322022), we get a palindrome (43353635334).

The spelling of 22022313312 in words is "twenty-two billion, twenty-two million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229399097 458798194 688197291 917596388 1376394582 1835192776 2752789164 3670385552 5505578328 7340771104 11011156656 22022313312