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20322260 = 2257289233
BaseRepresentation
bin100110110000…
…1011111010100
31102020110220022
41031201133110
520200303020
62003324312
7334510400
oct115413724
942213808
1020322260
1110520462
126980698
13429700a
1429b0100
151bb6625
hex13617d4

20322260 has 72 divisors (see below), whose sum is σ = 50417640. Its totient is φ = 6859776.

The previous prime is 20322257. The next prime is 20322299. The reversal of 20322260 is 6222302.

20322260 = T215 + T216 + ... + T508.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 20322064 = 14^2 + 4508^2 .

It is a congruent number.

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, 87104 + ... + 87336.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 220322260 is an apocalyptic number.

20322260 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 20322260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208820).

20322260 is an abundant number, since it is smaller than the sum of its proper divisors (30095380).

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

20322260 is a wasteful number, since it uses less digits than its factorization.

20322260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 20322260 is about 4508.0217390780. The cubic root of 20322260 is about 272.8919142583.

Adding to 20322260 its reverse (6222302), we get a palindrome (26544562).

The spelling of 20322260 in words is "twenty million, three hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 89 98 140 178 196 233 245 356 445 466 490 623 890 932 980 1165 1246 1631 1780 2330 2492 3115 3262 4361 4660 6230 6524 8155 8722 11417 12460 16310 17444 20737 21805 22834 32620 41474 43610 45668 57085 82948 87220 103685 114170 145159 207370 228340 290318 414740 580636 725795 1016113 1451590 2032226 2903180 4064452 5080565 10161130 20322260