Search a number
-
+
22142125434 = 23111340963097
BaseRepresentation
bin10100100111110001…
…100000010101111010
32010011010022111220210
4110213301200111322
5330321341003214
614101050331550
71412462650362
oct244761402572
963133274823
1022142125434
11943271a620
12435b429bb6
13211b424890
1411009b99a2
15898d54b59
hex527c6057a

22142125434 has 64 divisors (see below), whose sum is σ = 52154282880. Its totient is φ = 6178360320.

The previous prime is 22142125427. The next prime is 22142125457. The reversal of 22142125434 is 43452124122.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319374 + ... + 382470.

It is an arithmetic number, because the mean of its divisors is an integer number (814910670).

Almost surely, 222142125434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22142125434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26077141440).

22142125434 is an abundant number, since it is smaller than the sum of its proper divisors (30012157446).

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

22142125434 is a wasteful number, since it uses less digits than its factorization.

22142125434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63535.

The product of its digits is 15360, while the sum is 30.

Adding to 22142125434 its reverse (43452124122), we get a palindrome (65594249556).

The spelling of 22142125434 in words is "twenty-two billion, one hundred forty-two million, one hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 409 429 818 858 1227 2454 4499 5317 8998 10634 13497 15951 26994 31902 58487 63097 116974 126194 175461 189291 350922 378582 694067 820261 1388134 1640522 2082201 2460783 4164402 4921566 9022871 18045742 25806673 27068613 51613346 54137226 77420019 154840038 283873403 335486749 567746806 670973498 851620209 1006460247 1703240418 2012920494 3690354239 7380708478 11071062717 22142125434