Search a number
-
+
22142404420340 = 22510971289378277
BaseRepresentation
bin1010000100011011011100…
…01001100110001011110100
32220101210102020100110000012
411002031232021212023310
510400240121012422330
6115032025152035352
74443510265103051
oct502155611461364
986353366313005
1022142404420340
1170675a5053606
12259741a532b58
13c480345b2a09
145679ab7ca028
15285e94bd0c95
hex14236e2662f4

22142404420340 has 48 divisors (see below), whose sum is σ = 46545641189712. Its totient is φ = 8848088595456.

The previous prime is 22142404420333. The next prime is 22142404420393. The reversal of 22142404420340 is 4302440424122.

It can be written as a sum of positive squares in 8 ways, for example, as 4461338147344 + 17681066272996 = 2112188^2 + 4204886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22142404420297 and 22142404420306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282833282 + ... + 282911558.

It is an arithmetic number, because the mean of its divisors is an integer number (969700858119).

Almost surely, 222142404420340 is an apocalyptic number.

22142404420340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142404420340 is an abundant number, since it is smaller than the sum of its proper divisors (24403236769372).

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

22142404420340 is a wasteful number, since it uses less digits than its factorization.

22142404420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92276 (or 92274 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 22142404420340 its reverse (4302440424122), we get a palindrome (26444844844462).

The spelling of 22142404420340 in words is "twenty-two trillion, one hundred forty-two billion, four hundred four million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1097 2194 4388 5485 10970 12893 21940 25786 51572 64465 78277 128930 156554 257860 313108 391385 782770 1565540 14143621 28287242 56574484 70718105 85869869 141436210 171739738 282872420 343479476 429349345 858698690 1009225361 1717397380 2018450722 4036901444 5046126805 10092253610 20184507220 1107120221017 2214240442034 4428480884068 5535601105085 11071202210170 22142404420340