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2122020 = 2232511789
BaseRepresentation
bin1000000110000100100100
310222210212100
420012010210
51020401040
6113252100
724015435
oct10060444
93883770
102122020
11121a33a
12864030
13593b44
143d348c
152bdb30
hex206124

2122020 has 36 divisors (see below), whose sum is σ = 6437340. Its totient is φ = 565824.

The previous prime is 2122013. The next prime is 2122031. The reversal of 2122020 is 202212.

It can be written as a sum of positive squares in 2 ways, for example, as 331776 + 1790244 = 576^2 + 1338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2121993 and 2122011.

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, 5715 + ... + 6074.

It is an arithmetic number, because the mean of its divisors is an integer number (178815).

22122020 is an apocalyptic number.

2122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122020 is an abundant number, since it is smaller than the sum of its proper divisors (4315320).

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

2122020 is a wasteful number, since it uses less digits than its factorization.

2122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11799 counting only the distinct ones).

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

The square root of 2122020 is about 1456.7154835451. The cubic root of 2122020 is about 128.5039540134.

Adding to 2122020 its reverse (202212), we get a palindrome (2324232).

The spelling of 2122020 in words is "two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11789 23578 35367 47156 58945 70734 106101 117890 141468 176835 212202 235780 353670 424404 530505 707340 1061010 2122020