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22020100 = 22521712953
BaseRepresentation
bin101010000000…
…0000000000100
31112102201220021
41110000000010
521114120400
62103544524
7355111354
oct124000004
945381807
1022020100
1111480033
12745b144
13473ca5b
142cd2b64
151dee71a
hex1500004

22020100 has 36 divisors (see below), whose sum is σ = 50598324. Its totient is φ = 8289280.

The previous prime is 22020091. The next prime is 22020127. The reversal of 22020100 is 102022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1153476 + 20866624 = 1074^2 + 4568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4777 + ... + 8176.

It is an arithmetic number, because the mean of its divisors is an integer number (1405509).

Almost surely, 222020100 is an apocalyptic number.

22020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020100 is an abundant number, since it is smaller than the sum of its proper divisors (28578224).

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

22020100 is a wasteful number, since it uses less digits than its factorization.

22020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 22020100 is about 4692.5579378416. The cubic root of 22020100 is about 280.2892419245.

Adding to 22020100 its reverse (102022), we get a palindrome (22122122).

The spelling of 22020100 in words is "twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 12953 25906 51812 64765 129530 220201 259060 323825 440402 647650 880804 1101005 1295300 2202010 4404020 5505025 11010050 22020100