Search a number
-
+
2422282320 = 24355532351
BaseRepresentation
bin1001000001100001…
…0001100001010000
320020210221200200000
42100120101201100
514430101013240
61040205530000
7114012026403
oct22030214120
96223850600
102422282320
111033351617
12577273900
132c7abab63
1418d9bdd3a
15e29c8430
hex90611850

2422282320 has 240 divisors, whose sum is σ = 8598949632. Its totient is φ = 633484800.

The previous prime is 2422282297. The next prime is 2422282339. The reversal of 2422282320 is 232822242.

2422282320 is a `hidden beast` number, since 2 + 422 + 2 + 8 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1029145 + ... + 1031495.

Almost surely, 22422282320 is an apocalyptic number.

2422282320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299474816).

2422282320 is an abundant number, since it is smaller than the sum of its proper divisors (6176667312).

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

2422282320 is a wasteful number, since it uses less digits than its factorization.

2422282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2422282320 is about 49216.6874139250. The cubic root of 2422282320 is about 1342.9966203613.

The spelling of 2422282320 in words is "two billion, four hundred twenty-two million, two hundred eighty-two thousand, three hundred twenty".