Base | Representation |
---|---|
bin | 1010001101110101011100… |
… | …01010101110011110111100 |
3 | 2221112200122100202002111000 |
4 | 11012322232022232132330 |
5 | 10421034022324134000 |
6 | 115440315444330300 |
7 | 4506041351540532 |
oct | 506725612563674 |
9 | 87480570662430 |
10 | 22465601005500 |
11 | 71816760aa644 |
12 | 2629b983a3990 |
13 | c6c660130653 |
14 | 5794ab590152 |
15 | 28e5ada82000 |
hex | 146eae2ae7bc |
22465601005500 has 384 divisors, whose sum is σ = 77119136640000. Its totient is φ = 5627097216000.
The previous prime is 22465601005481. The next prime is 22465601005571. The reversal of 22465601005500 is 550010656422.
22465601005500 is a `hidden beast` number, since 2 + 2 + 46 + 5 + 6 + 0 + 100 + 5 + 500 = 666.
It is a super-2 number, since 2×224656010055002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114422415 + ... + 114618585.
It is an arithmetic number, because the mean of its divisors is an integer number (200831085000).
Almost surely, 222465601005500 is an apocalyptic number.
22465601005500 is a gapful number since it is divisible by the number (20) 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 22465601005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38559568320000).
22465601005500 is an abundant number, since it is smaller than the sum of its proper divisors (54653535634500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22465601005500 is a wasteful number, since it uses less digits than its factorization.
22465601005500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 196715 (or 196697 counting only the distinct ones).
The product of its (nonzero) digits is 72000, while the sum is 36.
The spelling of 22465601005500 in words is "twenty-two trillion, four hundred sixty-five billion, six hundred one million, five thousand, five hundred".
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