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2022240000 = 2835411383
BaseRepresentation
bin111100010001000…
…1110111100000000
312012221012102202210
41320202032330000
513120143140000
6532355342120
7101053520304
oct17042167400
95187172683
102022240000
11948557930
124852b1940
13262c63221
14152807d04
15bc807350
hex7888ef00

2022240000 has 360 divisors, whose sum is σ = 7356045312. Its totient is φ = 488960000.

The previous prime is 2022239993. The next prime is 2022240037. The reversal of 2022240000 is 422202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 5279809 + ... + 5280191.

Almost surely, 22022240000 is an apocalyptic number.

2022240000 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 2022240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678022656).

2022240000 is an abundant number, since it is smaller than the sum of its proper divisors (5333805312).

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

2022240000 is an equidigital number, since it uses as much as digits as its factorization.

2022240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2022240000 is about 44969.3228768235. The cubic root of 2022240000 is about 1264.5739528761.

Adding to 2022240000 its reverse (422202), we get a palindrome (2022662202).

The spelling of 2022240000 in words is "two billion, twenty-two million, two hundred forty thousand".