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22210020 = 22325717627
BaseRepresentation
bin101010010111…
…0010111100100
31112210101102100
41110232113210
521141210040
62112012100
7356532150
oct124562744
945711370
1022210020
111159a798
127531030
1347a8331
142d42060
151e3ab30
hex152e5e4

22210020 has 72 divisors (see below), whose sum is σ = 76999104. Its totient is φ = 5076288.

The previous prime is 22209997. The next prime is 22210033. The reversal of 22210020 is 2001222.

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 = 22209984 and 22210011.

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 23 ways as a sum of consecutive naturals, for example, 7554 + ... + 10073.

It is an arithmetic number, because the mean of its divisors is an integer number (1069432).

Almost surely, 222210020 is an apocalyptic number.

22210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210020 is an abundant number, since it is smaller than the sum of its proper divisors (54789084).

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

22210020 is a wasteful number, since it uses less digits than its factorization.

22210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17649 (or 17644 counting only the distinct ones).

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

The square root of 22210020 is about 4712.7507890827. The cubic root of 22210020 is about 281.0927535816.

Adding to 22210020 its reverse (2001222), we get a palindrome (24211242).

The spelling of 22210020 in words is "twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 17627 35254 52881 70508 88135 105762 123389 158643 176270 211524 246778 264405 317286 352540 370167 493556 528810 616945 634572 740334 793215 1057620 1110501 1233890 1480668 1586430 1850835 2221002 2467780 3172860 3701670 4442004 5552505 7403340 11105010 22210020