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2022838272 = 2123471367
BaseRepresentation
bin111100010010010…
…0001000000000000
312012222022211110000
41320210201000000
513120321311042
6532420240000
7101061561450
oct17044410000
95188284400
102022838272
11948926374
12485540000
13263112630
14152921d60
15bc8c474c
hex78921000

2022838272 has 520 divisors, whose sum is σ = 7548301376. Its totient is φ = 525533184.

The previous prime is 2022838271. The next prime is 2022838289. The reversal of 2022838272 is 2728382202.

2022838272 is a `hidden beast` number, since 202 + 2 + 8 + 382 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2022838271) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191583 + ... + 30191649.

Almost surely, 22022838272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774150688).

2022838272 is an abundant number, since it is smaller than the sum of its proper divisors (5525463104).

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

2022838272 is an equidigital number, since it uses as much as digits as its factorization.

2022838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2022838272 is about 44975.9743863321. The cubic root of 2022838272 is about 1264.6986470423.

The spelling of 2022838272 in words is "two billion, twenty-two million, eight hundred thirty-eight thousand, two hundred seventy-two".