Search a number
-
+
22122340240 = 245711132312011
BaseRepresentation
bin10100100110100110…
…000001111110010000
32010002202002022201211
4110212212001332100
5330301304341430
614055102305504
71412132534530
oct244646017620
963082068654
1022122340240
119422536720
124354888294
1321172b8170
1410dc1094c0
1589724772a
hex526981f90

22122340240 has 320 divisors, whose sum is σ = 72067387392. Its totient is φ = 6087628800.

The previous prime is 22122340237. The next prime is 22122340241. The reversal of 22122340240 is 4204322122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22122340241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835835 + ... + 1847845.

Almost surely, 222122340240 is an apocalyptic number.

22122340240 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 22122340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033693696).

22122340240 is an abundant number, since it is smaller than the sum of its proper divisors (49945047152).

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

22122340240 is a wasteful number, since it uses less digits than its factorization.

22122340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22122340240 its reverse (4204322122), we get a palindrome (26326662362).

The spelling of 22122340240 in words is "twenty-two billion, one hundred twenty-two million, three hundred forty thousand, two hundred forty".