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2022120200 = 235297104233
BaseRepresentation
bin111100010000111…
…0001101100001000
312012220222100102202
41320201301230020
513120130321300
6532353015332
7101052511112
oct17041615410
95186870382
102022120200
11948485921
12485254548
13262c20839
141527b63b2
15bc7d1ad5
hex78871b08

2022120200 has 48 divisors (see below), whose sum is σ = 4749943380. Its totient is φ = 800501760.

The previous prime is 2022120181. The next prime is 2022120211. The reversal of 2022120200 is 20212202.

It can be written as a sum of positive squares in 6 ways, for example, as 940894276 + 1081225924 = 30674^2 + 32882^2 .

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 11 ways as a sum of consecutive naturals, for example, 32717 + ... + 71516.

Almost surely, 22022120200 is an apocalyptic number.

2022120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022120200 is an abundant number, since it is smaller than the sum of its proper divisors (2727823180).

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

2022120200 is a wasteful number, since it uses less digits than its factorization.

2022120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104346 (or 104337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2022120200 is about 44967.9908379283. The cubic root of 2022120200 is about 1264.5489807410.

Adding to 2022120200 its reverse (20212202), we get a palindrome (2042332402).

The spelling of 2022120200 in words is "two billion, twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 19400 104233 208466 416932 521165 833864 1042330 2084660 2605825 4169320 5211650 10110601 10423300 20221202 20846600 40442404 50553005 80884808 101106010 202212020 252765025 404424040 505530050 1011060100 2022120200