Search a number
-
+
22422201340 = 225711171945077
BaseRepresentation
bin10100111000011101…
…111010001111111100
32010212122022211211111
4110320131322033330
5331410040420330
614144533331404
71422433365250
oct247035721774
963778284744
1022422201340
119566825810
124419196b64
132164467976
141129c84260
158b372a32a
hex53877a3fc

22422201340 has 192 divisors, whose sum is σ = 65431618560. Its totient is φ = 6231306240.

The previous prime is 22422201301. The next prime is 22422201341. The reversal of 22422201340 is 4310222422.

It is a super-2 number, since 2×224222013402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422201341) 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, 474882 + ... + 519958.

It is an arithmetic number, because the mean of its divisors is an integer number (340789680).

Almost surely, 222422201340 is an apocalyptic number.

22422201340 is a gapful number since it is divisible by the number (20) 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 22422201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32715809280).

22422201340 is an abundant number, since it is smaller than the sum of its proper divisors (43009417220).

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

22422201340 is a wasteful number, since it uses less digits than its factorization.

22422201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45140 (or 45138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22422201340 its reverse (4310222422), we get a palindrome (26732423762).

The spelling of 22422201340 in words is "twenty-two billion, four hundred twenty-two million, two hundred one thousand, three hundred forty".