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20312220 = 22352341359
BaseRepresentation
bin100110101111…
…1000010011100
31102012222010110
41031133002130
520144442340
62003210020
7334436205
oct115370234
942188113
1020312220
1110513965
126976910
134292586
1429aa5ac
151bb3680
hex135f09c

20312220 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 5040640.

The previous prime is 20312219. The next prime is 20312221. The reversal of 20312220 is 2221302.

It is an interprime number because it is at equal distance from previous prime (20312219) and next prime (20312221).

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

It is a junction number, because it is equal to n+sod(n) for n = 20312196 and 20312205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312221) 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, 56401 + ... + 56759.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 220312220 is an apocalyptic number.

20312220 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 20312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20312220 is an abundant number, since it is smaller than the sum of its proper divisors (40651620).

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

20312220 is a wasteful number, since it uses less digits than its factorization.

20312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

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

The square root of 20312220 is about 4506.9080310119. The cubic root of 20312220 is about 272.8469670569.

Adding to 20312220 its reverse (2221302), we get a palindrome (22533522).

The spelling of 20312220 in words is "twenty million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 359 410 460 492 615 690 718 820 943 1077 1230 1380 1436 1795 1886 2154 2460 2829 3590 3772 4308 4715 5385 5658 7180 8257 9430 10770 11316 14145 14719 16514 18860 21540 24771 28290 29438 33028 41285 44157 49542 56580 58876 73595 82570 88314 99084 123855 147190 165140 176628 220785 247710 294380 338537 441570 495420 677074 883140 1015611 1354148 1692685 2031222 3385370 4062444 5078055 6770740 10156110 20312220