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20220312 = 2337235233
BaseRepresentation
bin100110100100…
…0100110011000
31102001022001110
41031020212120
520134022222
62001220320
7333604230
oct115104630
942038043
1020220312
1110460902
1269316a0
13425c7a8
142984cc0
151b9630c
hex1348998

20220312 has 64 divisors (see below), whose sum is σ = 60295680. Its totient is φ = 5524992.

The previous prime is 20220311. The next prime is 20220323. The reversal of 20220312 is 21302202.

It is a super-2 number, since 2×202203122 = 817722034754688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248 + ... + 6480.

It is an arithmetic number, because the mean of its divisors is an integer number (942120).

Almost surely, 220220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30147840).

20220312 is an abundant number, since it is smaller than the sum of its proper divisors (40075368).

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

20220312 is a wasteful number, since it uses less digits than its factorization.

20220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20220312 is about 4496.7001234238. The cubic root of 20220312 is about 272.4348221077.

Adding to 20220312 its reverse (21302202), we get a palindrome (41522514).

The spelling of 20220312 in words is "twenty million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 5233 10466 15699 20932 31398 36631 41864 62796 73262 109893 120359 125592 146524 219786 240718 293048 361077 439572 481436 722154 842513 879144 962872 1444308 1685026 2527539 2888616 3370052 5055078 6740104 10110156 20220312