| Base | Representation |
|---|---|
| bin | 10100111100111000… |
| … | …111101001100010000 |
| 3 | 2011001210221112110100 |
| 4 | 110330320331030100 |
| 5 | 332033034301034 |
| 6 | 14200143532400 |
| 7 | 1424324150301 |
| oct | 247470751420 |
| 9 | 64053845410 |
| 10 | 22496400144 |
| 11 | 95a46a4439 |
| 12 | 4439bba100 |
| 13 | 217694669a |
| 14 | 1135a7a7a8 |
| 15 | 8b9ed5099 |
| hex | 53ce3d310 |
22496400144 has 135 divisors (see below), whose sum is σ = 65356163509. Its totient is φ = 7223422080.
The previous prime is 22496400139. The next prime is 22496400151. The reversal of 22496400144 is 44100469422.
It is a happy number.
The square root of 22496400144 is 149988.
It is a perfect power (a square), and thus also a powerful number.
22496400144 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 640 + 0 + 1 + 4 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 11796566544 + 10699833600 = 108612^2 + 103440^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22496400099 and 22496400108.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52195609 + ... + 52196039.
Almost surely, 222496400144 is an apocalyptic number.
22496400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
22496400144 is the 149988-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22496400144
22496400144 is an abundant number, since it is smaller than the sum of its proper divisors (42859763365).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22496400144 is an equidigital number, since it uses as much as digits as its factorization.
22496400144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 934 (or 465 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
Multiplying 22496400144 by its sum of digits (36), we get a square (809870405184 = 8999282).
22496400144 divided by its sum of digits (36) gives a square (624900004 = 249982).
Adding to 22496400144 its reverse (44100469422), we get a palindrome (66596869566).
The spelling of 22496400144 in words is "twenty-two billion, four hundred ninety-six million, four hundred thousand, one hundred forty-four".
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