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2022244240 = 24529871657
BaseRepresentation
bin111100010001000…
…1111111110010000
312012221012122120211
41320202033332100
513120143303430
6532355413504
7101053535542
oct17042177620
95187178524
102022244240
11948560035
124852b4294
13262c65133
14152809692
15bc80872a
hex7888ff90

2022244240 has 40 divisors (see below), whose sum is σ = 4863851640. Its totient is φ = 781003776.

The previous prime is 2022244207. The next prime is 2022244243. The reversal of 2022244240 is 424422202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 179774464 + 1842469776 = 13408^2 + 42924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2022244243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433509 + ... + 438148.

It is an arithmetic number, because the mean of its divisors is an integer number (121596291).

Almost surely, 22022244240 is an apocalyptic number.

2022244240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022244240 is an abundant number, since it is smaller than the sum of its proper divisors (2841607400).

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

2022244240 is a wasteful number, since it uses less digits than its factorization.

2022244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871699 (or 871693 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2022244240 is about 44969.3700200481. The cubic root of 2022244240 is about 1264.5748366799.

Adding to 2022244240 its reverse (424422202), we get a palindrome (2446666442).

The spelling of 2022244240 in words is "two billion, twenty-two million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 871657 1743314 3486628 4358285 6973256 8716570 13946512 17433140 25278053 34866280 50556106 69732560 101112212 126390265 202224424 252780530 404448848 505561060 1011122120 2022244240