Search a number
-
+
99999838224 = 24351121383197
BaseRepresentation
bin101110100100001110…
…1000111000000010000
3100120010011100010100000
41131020131013000100
53114244424310344
6113534515330000
710140042412566
oct1351035070020
9316104303300
1099999838224
1139456335600
12174698b0900
139578783c10
144ba901ba36
152904206a69
hex1748747010

99999838224 has 720 divisors, whose sum is σ = 349451758656. Its totient is φ = 27494691840.

The previous prime is 99999838217. The next prime is 99999838229. The reversal of 99999838224 is 42283899999.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99999838229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 507613294 + ... + 507613490.

Almost surely, 299999838224 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 99999838224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174725879328).

99999838224 is an abundant number, since it is smaller than the sum of its proper divisors (249451920432).

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

99999838224 is a wasteful number, since it uses less digits than its factorization.

99999838224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 309 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 72.

The spelling of 99999838224 in words is "ninety-nine billion, nine hundred ninety-nine million, eight hundred thirty-eight thousand, two hundred twenty-four".