Search a number
-
+
10218899160 = 2332573601647
BaseRepresentation
bin10011000010001100…
…00000011011011000
3222101011122212022200
421201012000123120
5131412014233120
64410002250200
7511143131631
oct114106003330
928334585280
1010218899160
114374336208
121b92356960
13c6b160ac2
146cd264888
153ec1ebe90
hex2611806d8

10218899160 has 192 divisors, whose sum is σ = 33774511680. Its totient is φ = 2679091200.

The previous prime is 10218899123. The next prime is 10218899227. The reversal of 10218899160 is 6199881201.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15793957 + ... + 15794603.

It is an arithmetic number, because the mean of its divisors is an integer number (175908915).

Almost surely, 210218899160 is an apocalyptic number.

10218899160 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 10218899160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16887255840).

10218899160 is an abundant number, since it is smaller than the sum of its proper divisors (23555612520).

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

10218899160 is a wasteful number, since it uses less digits than its factorization.

10218899160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 10218899160 in words is "ten billion, two hundred eighteen million, eight hundred ninety-nine thousand, one hundred sixty".