Search a number
-
+
2224772874240 = 218357131617
BaseRepresentation
bin100000010111111110110…
…011000000000000000000
321212200112020122221022020
4200113332303000000000
5242422313323433430
64422014015441440
7316506642261150
oct40277663000000
97780466587266
102224772874240
11788580319074
122bb213b26280
13131a45025ac7
1479972ab4760
153cd1120cb10
hex205fecc0000

2224772874240 has 608 divisors, whose sum is σ = 8211693371904. Its totient is φ = 503819796480.

The previous prime is 2224772874161. The next prime is 2224772874293. The reversal of 2224772874240 is 424782774222.

It is a super-2 number, since 2×22247728742402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3605790412 + ... + 3605791028.

Almost surely, 22224772874240 is an apocalyptic number.

2224772874240 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 2224772874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105846685952).

2224772874240 is an abundant number, since it is smaller than the sum of its proper divisors (5986920497664).

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

2224772874240 is an frugal number, since it uses more digits than its factorization.

2224772874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 51.

The spelling of 2224772874240 in words is "two trillion, two hundred twenty-four billion, seven hundred seventy-two million, eight hundred seventy-four thousand, two hundred forty".