Search a number
-
+
22431434142 = 231317103164239
BaseRepresentation
bin10100111001000001…
…001000010110011110
32010220021200220212010
4110321001020112132
5331414421343032
614145503252050
71422605021115
oct247101102636
963807626763
1022431434142
119570a61527
1244202aa026
13216634b270
14112b1a8c7c
158b4450ccc
hex53904859e

22431434142 has 64 divisors (see below), whose sum is σ = 51652823040. Its totient is φ = 6432873984.

The previous prime is 22431434111. The next prime is 22431434173. The reversal of 22431434142 is 24143413422.

It is an interprime number because it is at equal distance from previous prime (22431434111) and next prime (22431434173).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54459 + ... + 218697.

It is an arithmetic number, because the mean of its divisors is an integer number (807075360).

Almost surely, 222431434142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22431434142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25826411520).

22431434142 is an abundant number, since it is smaller than the sum of its proper divisors (29221388898).

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

22431434142 is a wasteful number, since it uses less digits than its factorization.

22431434142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164377.

The product of its digits is 18432, while the sum is 30.

Adding to 22431434142 its reverse (24143413422), we get a palindrome (46574847564).

The spelling of 22431434142 in words is "twenty-two billion, four hundred thirty-one million, four hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 103 206 221 309 442 618 663 1326 1339 1751 2678 3502 4017 5253 8034 10506 22763 45526 68289 136578 164239 328478 492717 985434 2135107 2792063 4270214 5584126 6405321 8376189 12810642 16752378 16916617 33833234 36296819 50749851 72593638 101499702 108890457 217780914 219916021 287582489 439832042 575164978 659748063 862747467 1319496126 1725494934 3738572357 7477144714 11215717071 22431434142