Search a number
57222 = 23211172
BaseRepresentation
bin1101111110000110
32220111100
431332012
53312342
61120530
7325554
oct157606
986440
1057222
1139aa0
1229146
1320079
1416bd4
1511e4c
hexdf86

57222 has 36 divisors (see below), whose sum is σ = 143676. Its totient is φ = 16320.

The previous prime is 57221. The next prime is 57223. The reversal of 57222 is 22275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57221) and next prime (57223).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 57195 and 57204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57221) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3358 + ... + 3374.

It is an arithmetic number, because the mean of its divisors is an integer number (3991).

257222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71838).

57222 is an abundant number, since it is smaller than the sum of its proper divisors (86454).

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

57222 is a wasteful number, since it uses less digits than its factorization.

57222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 57222 is about 239.2112037510. The cubic root of 57222 is about 38.5349095857.

Adding to 57222 its reverse (22275), we get a palindrome (79497).

It can be divided in two parts, 5 and 7222, that added together give a palindrome (7227).

The spelling of 57222 in words is "fifty-seven thousand, two hundred twenty-two".