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2022020100 = 2232522246689
BaseRepresentation
bin111100010000101…
…1001010000000100
312012220210021010100
41320201121100010
513120114120400
6532350524100
7101051613222
oct17041312004
95186707110
102022020100
119484176a1
12485206630
13262bb70c9
1415278bb12
15bc7b2100
hex78859404

2022020100 has 54 divisors (see below), whose sum is σ = 6337912490. Its totient is φ = 539205120.

The previous prime is 2022020059. The next prime is 2022020123. The reversal of 2022020100 is 10202202.

It can be written as a sum of positive squares in 3 ways, for example, as 591365124 + 1430654976 = 24318^2 + 37824^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1122445 + ... + 1124244.

Almost surely, 22022020100 is an apocalyptic number.

2022020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022020100 is an abundant number, since it is smaller than the sum of its proper divisors (4315892390).

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

2022020100 is a wasteful number, since it uses less digits than its factorization.

2022020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246709 (or 2246699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022020100 is about 44966.8778102283. The cubic root of 2022020100 is about 1264.5281142858.

Adding to 2022020100 its reverse (10202202), we get a palindrome (2032222302).

The spelling of 2022020100 in words is "two billion, twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2246689 4493378 6740067 8986756 11233445 13480134 20220201 22466890 26960268 33700335 40440402 44933780 56167225 67400670 80880804 101101005 112334450 134801340 168501675 202202010 224668900 337003350 404404020 505505025 674006700 1011010050 2022020100