Search a number
-
+
67223520 = 2535571319
BaseRepresentation
bin1000000000110…
…11111111100000
311200111022100000
410000123333200
5114202123040
610400500000
71444250640
oct400337740
9150438300
1067223520
1134a45031
121a61a600
1310c08b40
148cdc520
155d7d130
hex401bfe0

67223520 has 576 divisors, whose sum is σ = 308206080. Its totient is φ = 13436928.

The previous prime is 67223473. The next prime is 67223521. The reversal of 67223520 is 2532276.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67223521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538071 + ... + 3538089.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 267223520 is an apocalyptic number.

67223520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

67223520 is an abundant number, since it is smaller than the sum of its proper divisors (240982560).

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

67223520 is a wasteful number, since it uses less digits than its factorization.

67223520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 67223520 is about 8198.9950603717. The cubic root of 67223520 is about 406.6059690233.

Adding to 67223520 its reverse (2532276), we get a palindrome (69755796).

The spelling of 67223520 in words is "sixty-seven million, two hundred twenty-three thousand, five hundred twenty".