Search a number
98822144 = 21173661
BaseRepresentation
bin1011110001111…
…10100000000000
320212221200111102
411320332200000
5200244302034
613450033532
72306655131
oct570764000
9225850442
1098822144
11508675a3
12291188a8
1317620655
14d1a5c88
158a2097e
hex5e3e800

98822144 has 48 divisors (see below), whose sum is σ = 200605860. Its totient is φ = 48660480.

The previous prime is 98822117. The next prime is 98822147. The reversal of 98822144 is 44122889.

It can be written as a sum of positive squares in 2 ways, for example, as 95257600 + 3564544 = 9760^2 + 1888^2 .

It is a super-2 number, since 2×988221442 = 19531632289513472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98822098 and 98822107.

It is not an unprimeable number, because it can be changed into a prime (98822147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149174 + ... + 149834.

Almost surely, 298822144 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 98822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100302930).

98822144 is an abundant number, since it is smaller than the sum of its proper divisors (101783716).

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

98822144 is an equidigital number, since it uses as much as digits as its factorization.

98822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 98822144 is about 9940.9327530167. The cubic root of 98822144 is about 462.3293067696.

It can be divided in two parts, 988 and 22144, that added together give a palindrome (23132).

The spelling of 98822144 in words is "ninety-eight million, eight hundred twenty-two thousand, one hundred forty-four".