| Base | Representation |
|---|---|
| bin | 101010000000111010… |
| … | …0011110101000000000 |
| 3 | 22121212220222010201100 |
| 4 | 1110001310132220000 |
| 5 | 2434240030103420 |
| 6 | 105240531334400 |
| 7 | 6342566356134 |
| oct | 1240164365000 |
| 9 | 277786863640 |
| 10 | 90224847360 |
| 11 | 3529a63525a |
| 12 | 155a0151400 |
| 13 | 867b59915b |
| 14 | 451cb0b3c4 |
| 15 | 2530e93190 |
| hex | 1501d1ea00 |
90224847360 has 240 divisors, whose sum is σ = 313789905000. Its totient is φ = 23958650880.
The previous prime is 90224847331. The next prime is 90224847367. The reversal of 90224847360 is 6374842209.
90224847360 is a `hidden beast` number, since 9 + 0 + 2 + 248 + 47 + 360 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 83193018624 + 7031828736 = 288432^2 + 83856^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×902248473602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (90224847367) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544516 + ... + 5560764.
Almost surely, 290224847360 is an apocalyptic number.
90224847360 is a gapful number since it is divisible by the number (90) 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 90224847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156894952500).
90224847360 is an abundant number, since it is smaller than the sum of its proper divisors (223565057640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90224847360 is a wasteful number, since it uses less digits than its factorization.
90224847360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16519 (or 16500 counting only the distinct ones).
The product of its (nonzero) digits is 580608, while the sum is 45.
The spelling of 90224847360 in words is "ninety billion, two hundred twenty-four million, eight hundred forty-seven thousand, three hundred sixty".
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