Search a number
-
+
18022331520 = 273451991747
BaseRepresentation
bin10000110010001101…
…101111010010000000
31201112000012022010000
4100302031233102000
5243402204102040
612140201040000
71205416201404
oct206215572200
951460168100
1018022331520
117709155466
1235ab786000
131912a4bcbb
14c2d7a1104
1570731a130
hex43236f480

18022331520 has 320 divisors, whose sum is σ = 64721448000. Its totient is φ = 4779067392.

The previous prime is 18022331471. The next prime is 18022331521. The reversal of 18022331520 is 2513322081.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (18022331521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10315287 + ... + 10317033.

It is an arithmetic number, because the mean of its divisors is an integer number (202254525).

Almost surely, 218022331520 is an apocalyptic number.

18022331520 is a gapful number since it is divisible by the number (10) 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 18022331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32360724000).

18022331520 is an abundant number, since it is smaller than the sum of its proper divisors (46699116480).

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

18022331520 is a wasteful number, since it uses less digits than its factorization.

18022331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 18022331520 in words is "eighteen billion, twenty-two million, three hundred thirty-one thousand, five hundred twenty".