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97220 = 2254861
BaseRepresentation
bin10111101111000100
311221100202
4113233010
511102340
62030032
7553304
oct275704
9157322
1097220
1167052
1248318
1335336
1427604
151dc15
hex17bc4

97220 has 12 divisors (see below), whose sum is σ = 204204. Its totient is φ = 38880.

The previous prime is 97213. The next prime is 97231. The reversal of 97220 is 2279.

It can be written as a sum of positive squares in 2 ways, for example, as 65536 + 31684 = 256^2 + 178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4861 = 97220 / (9 + 7 + 2 + 2 + 0).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 97192 and 97201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2411 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (17017).

297220 is an apocalyptic number.

It is an amenable number.

97220 is an abundant number, since it is smaller than the sum of its proper divisors (106984).

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 (102102).

97220 is a wasteful number, since it uses less digits than its factorization.

97220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 97220 is about 311.8012187276. The cubic root of 97220 is about 45.9817192641.

Adding to 97220 its reverse (2279), we get a palindrome (99499).

It can be divided in two parts, 9 and 7220, that multiplied together give a triangular number (64980 = T360).

The spelling of 97220 in words is "ninety-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 4861 9722 19444 24305 48610 97220