Search a number
-
+
73221108 = 223171512377
BaseRepresentation
bin1000101110101…
…00001111110100
312002210000110220
410113110033310
5122221033413
611133214340
71546240422
oct427241764
9162700426
1073221108
1138371114
12206313b0
13122289cc
149a20112
156665223
hex45d43f4

73221108 has 48 divisors (see below), whose sum is σ = 182173824. Its totient is φ = 22809600.

The previous prime is 73221103. The next prime is 73221119. The reversal of 73221108 is 80112237.

It is a super-2 number, since 2×732211082 = 10722661313495328, which contains 22 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73221103) 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, 29616 + ... + 31992.

It is an arithmetic number, because the mean of its divisors is an integer number (3795288).

Almost surely, 273221108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73221108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91086912).

73221108 is an abundant number, since it is smaller than the sum of its proper divisors (108952716).

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

73221108 is a wasteful number, since it uses less digits than its factorization.

73221108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 73221108 is about 8556.9333291782. The cubic root of 73221108 is about 418.3554511074.

The spelling of 73221108 in words is "seventy-three million, two hundred twenty-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 151 204 302 453 604 906 1812 2377 2567 4754 5134 7131 7701 9508 10268 14262 15402 28524 30804 40409 80818 121227 161636 242454 358927 484908 717854 1076781 1435708 2153562 4307124 6101759 12203518 18305277 24407036 36610554 73221108