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93220 = 2255979
BaseRepresentation
bin10110110000100100
311201212121
4112300210
510440340
61555324
7535531
oct266044
9151777
1093220
1164046
1245b44
133357a
1425d88
151c94a
hex16c24

93220 has 24 divisors (see below), whose sum is σ = 201600. Its totient is φ = 36192.

The previous prime is 93199. The next prime is 93229. The reversal of 93220 is 2239.

93220 is nontrivially palindromic in base 11.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 93194 and 93203.

It is not an unprimeable number, because it can be changed into a prime (93229) by changing a digit.

93220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

293220 is an apocalyptic number.

It is an amenable number.

93220 is an abundant number, since it is smaller than the sum of its proper divisors (108380).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

93220 is a wasteful number, since it uses less digits than its factorization.

93220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 93220 is about 305.3195047815. The cubic root of 93220 is about 45.3422464212.

Adding to 93220 its reverse (2239), we get a palindrome (95459).

It can be divided in two parts, 93 and 220, that added together give a palindrome (313).

The spelling of 93220 in words is "ninety-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 59 79 118 158 236 295 316 395 590 790 1180 1580 4661 9322 18644 23305 46610 93220