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22000020 = 2235731069
BaseRepresentation
bin101001111101…
…1000110010100
31112101201100120
41103323012110
521113000040
62103311540
7354666000
oct123730624
945351316
1022000020
1111466a39
12744b5b0
134733883
142cc9700
151de87d0
hex14fb194

22000020 has 96 divisors (see below), whose sum is σ = 71904000. Its totient is φ = 5023872.

The previous prime is 22000003. The next prime is 22000021. The reversal of 22000020 is 2000022.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 21999972 and 22000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20046 + ... + 21114.

It is an arithmetic number, because the mean of its divisors is an integer number (749000).

Almost surely, 222000020 is an apocalyptic number.

22000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35952000).

22000020 is an abundant number, since it is smaller than the sum of its proper divisors (49903980).

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

22000020 is a wasteful number, since it uses less digits than its factorization.

22000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 22000020 is about 4690.4178918301. The cubic root of 22000020 is about 280.2040179758.

Adding to 22000020 its reverse (2000022), we get a palindrome (24000042).

The spelling of 22000020 in words is "twenty-two million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1069 1372 1470 1715 2058 2138 2940 3207 3430 4116 4276 5145 5345 6414 6860 7483 10290 10690 12828 14966 16035 20580 21380 22449 29932 32070 37415 44898 52381 64140 74830 89796 104762 112245 149660 157143 209524 224490 261905 314286 366667 448980 523810 628572 733334 785715 1047620 1100001 1466668 1571430 1833335 2200002 3142860 3666670 4400004 5500005 7333340 11000010 22000020