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2022220100 = 225220222201
BaseRepresentation
bin111100010001000…
…1010000101000100
312012221011102110202
41320202022011010
513120142020400
6532355110032
7101053405265
oct17042120504
95187142422
102022220100
1194854398a
124852a2318
13262c57154
1415280096c
15bc8014d5
hex7888a144

2022220100 has 18 divisors (see below), whose sum is σ = 4388217834. Its totient is φ = 808888000.

The previous prime is 2022220097. The next prime is 2022220127. The reversal of 2022220100 is 10222202.

It can be written as a sum of positive squares in 3 ways, for example, as 258052096 + 1764168004 = 16064^2 + 42002^2 .

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 5 ways as a sum of consecutive naturals, for example, 10111001 + ... + 10111200.

Almost surely, 22022220100 is an apocalyptic number.

2022220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022220100 is an abundant number, since it is smaller than the sum of its proper divisors (2365997734).

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

2022220100 is a wasteful number, since it uses less digits than its factorization.

2022220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222215 (or 20222208 counting only the distinct ones).

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

The square root of 2022220100 is about 44969.1016143307. The cubic root of 2022220100 is about 1264.5698048185.

Adding to 2022220100 its reverse (10222202), we get a palindrome (2032442302).

The spelling of 2022220100 in words is "two billion, twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20222201 40444402 80888804 101111005 202222010 404444020 505555025 1011110050 2022220100