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2022240480 = 253513297257
BaseRepresentation
bin111100010001000…
…1111000011100000
312012221012110102120
41320202033003200
513120143143410
6532355344240
7101053521561
oct17042170340
95187173376
102022240480
11948558227
124852b2080
13262c63500
14152808168
15bc807570
hex7888f0e0

2022240480 has 288 divisors, whose sum is σ = 6995981664. Its totient is φ = 490733568.

The previous prime is 2022240461. The next prime is 2022240487. The reversal of 2022240480 is 840422202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2022240480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022240487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7868512 + ... + 7868768.

It is an arithmetic number, because the mean of its divisors is an integer number (24291603).

Almost surely, 22022240480 is an apocalyptic number.

2022240480 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 2022240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497990832).

2022240480 is an abundant number, since it is smaller than the sum of its proper divisors (4973741184).

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

2022240480 is a wasteful number, since it uses less digits than its factorization.

2022240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2022240480 is about 44969.3282137948. The cubic root of 2022240480 is about 1264.5740529294.

Adding to 2022240480 its reverse (840422202), we get a palindrome (2862662682).

The spelling of 2022240480 in words is "two billion, twenty-two million, two hundred forty thousand, four hundred eighty".