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73220 = 2257523
BaseRepresentation
bin10001111000000100
310201102212
4101320010
54320340
61322552
7423320
oct217004
9121385
1073220
1150014
1236458
1327434
141c980
1516a65
hex11e04

73220 has 24 divisors (see below), whose sum is σ = 176064. Its totient is φ = 25056.

The previous prime is 73189. The next prime is 73237. The reversal of 73220 is 2237.

It is a super-2 number, since 2×732202 = 10722336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 73195 and 73204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73220.

It is an unprimeable number.

73220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (7336).

273220 is an apocalyptic number.

73220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73220 is an abundant number, since it is smaller than the sum of its proper divisors (102844).

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 (88032).

73220 is a wasteful number, since it uses less digits than its factorization.

73220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 73220 is about 270.5919437086. The cubic root of 73220 is about 41.8353340877.

Adding to 73220 its reverse (2237), we get a palindrome (75457).

The spelling of 73220 in words is "seventy-three thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 523 1046 2092 2615 3661 5230 7322 10460 14644 18305 36610 73220