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75222 = 2337199
BaseRepresentation
bin10010010111010110
310211012000
4102113112
54401342
61340130
7432210
oct222726
9124160
1075222
1151574
1237646
1328314
141d5b0
151744c
hex125d6

75222 has 32 divisors (see below), whose sum is σ = 192000. Its totient is φ = 21384.

The previous prime is 75217. The next prime is 75223. The reversal of 75222 is 22257.

It is a happy number.

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

It is a d-powerful number, because it can be written as 74 + 55 + 26 + 212 + 216 .

It is a nialpdrome in base 7 and base 10.

It is a junction number, because it is equal to n+sod(n) for n = 75195 and 75204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

275222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000).

75222 is an abundant number, since it is smaller than the sum of its proper divisors (116778).

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

75222 is a wasteful number, since it uses less digits than its factorization.

75222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

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

The square root of 75222 is about 274.2662939553. The cubic root of 75222 is about 42.2132016227.

Adding to 75222 its reverse (22257), we get a palindrome (97479).

The spelling of 75222 in words is "seventy-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 378 398 597 1194 1393 1791 2786 3582 4179 5373 8358 10746 12537 25074 37611 75222