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62220 = 22351761
BaseRepresentation
bin1111001100001100
310011100110
433030030
53442340
61200020
7346254
oct171414
9104313
1062220
1142824
1230010
1322422
1418964
1513680
hexf30c

62220 has 48 divisors (see below), whose sum is σ = 187488. Its totient is φ = 15360.

The previous prime is 62219. The next prime is 62233. The reversal of 62220 is 2226.

Adding to 62220 its reverse (2226), we get a palindrome (64446).

It can be divided in two parts, 62 and 220, that added together give a palindrome (282).

62220 is nontrivially palindromic in base 11 and base 13.

62220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 62196 and 62205.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 62220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

262220 is an apocalyptic number.

62220 is a gapful number since it is divisible by the number (60) 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 62220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

62220 is an abundant number, since it is smaller than the sum of its proper divisors (125268).

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

62220 is a wasteful number, since it uses less digits than its factorization.

62220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

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

The square root of 62220 is about 249.4393713911. The cubic root of 62220 is about 39.6256746063.

The spelling of 62220 in words is "sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 3111 3660 4148 5185 6222 10370 12444 15555 20740 31110 62220