Search a number
-
+
222142424313040 = 245711223142537873
BaseRepresentation
bin110010100000100110010000…
…010010100110110011010000
31002010112121102111102011020021
4302200212100102212303100
5213104040141111004130
62104242453151553224
764535155234462030
oct6240462022466320
91063477374364207
10222142424313040
1164866089313600
1220ab883452b814
1396c4c2ca1820a
143cbda71d0b8c0
151aa367a89e37a
hexca09904a6cd0

222142424313040 has 240 divisors, whose sum is σ = 677011569986304. Its totient is φ = 66228796846080.

The previous prime is 222142424313011. The next prime is 222142424313053. The reversal of 222142424313040 is 40313424241222.

It is a junction number, because it is equal to n+sod(n) for n = 222142424312987 and 222142424313005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69710457 + ... + 72827416.

Almost surely, 2222142424313040 is an apocalyptic number.

222142424313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222142424313040 is an abundant number, since it is smaller than the sum of its proper divisors (454869145673264).

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

222142424313040 is a wasteful number, since it uses less digits than its factorization.

222142424313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142537938 (or 142537921 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 222142424313040 its reverse (40313424241222), we get a palindrome (262455848554262).

The spelling of 222142424313040 in words is "two hundred twenty-two trillion, one hundred forty-two billion, four hundred twenty-four million, three hundred thirteen thousand, forty".