Search a number
-
+
22422120231392 = 257432327877931
BaseRepresentation
bin1010001100100100011101…
…00000101111000111100000
32221101112102002222220112222
411012102032200233013200
510414331000234401032
6115404325124410212
74502642020213340
oct506221640570740
987345362886488
1022422120231392
117165193366492
122621682846968
13c68520bb374b
145773449cad20
1528d3b66d9a12
hex14648e82f1e0

22422120231392 has 48 divisors (see below), whose sum is σ = 51623021020032. Its totient is φ = 9386003813760.

The previous prime is 22422120231391. The next prime is 22422120231409. The reversal of 22422120231392 is 29313202122422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422120231391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163929334 + ... + 1163948597.

It is an arithmetic number, because the mean of its divisors is an integer number (1075479604584).

Almost surely, 222422120231392 is an apocalyptic number.

It is an amenable number.

22422120231392 is an abundant number, since it is smaller than the sum of its proper divisors (29200900788640).

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

22422120231392 is a wasteful number, since it uses less digits than its factorization.

22422120231392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327877991 (or 2327877983 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 22422120231392 in words is "twenty-two trillion, four hundred twenty-two billion, one hundred twenty million, two hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 2327877931 4655755862 9311511724 16295145517 18623023448 32590291034 37246046896 65180582068 74492093792 100098751033 130361164136 200197502066 260722328272 400395004132 521444656544 700691257231 800790008264 1401382514462 1601580016528 2802765028924 3203160033056 5605530057848 11211060115696 22422120231392