Base | Representation |
---|---|
bin | 10011110000110000… |
… | …101100100000010000 |
3 | 2000202210121022220100 |
4 | 103300300230200100 |
5 | 321424101304344 |
6 | 13425320212400 |
7 | 1350554636244 |
oct | 236060544020 |
9 | 60683538810 |
10 | 21219166224 |
11 | 8aa9736713 |
12 | 414230a100 |
13 | 200214cb79 |
14 | 10541a4424 |
15 | 842ce0569 |
hex | 4f0c2c810 |
21219166224 has 135 divisors (see below), whose sum is σ = 60678574749. Its totient is φ = 6922143360.
The previous prime is 21219166219. The next prime is 21219166249. The reversal of 21219166224 is 42266191212.
It is a happy number.
The square root of 21219166224 is 145668.
It is a perfect power (a square), and thus also a powerful number.
21219166224 is a `hidden beast` number, since 2 + 1 + 2 + 19 + 16 + 622 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 690007824 + 20529158400 = 26268^2 + 143280^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106628877 + ... + 106629075.
Almost surely, 221219166224 is an apocalyptic number.
21219166224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
21219166224 is the 145668-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21219166224
21219166224 is an abundant number, since it is smaller than the sum of its proper divisors (39459408525).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21219166224 is an equidigital number, since it uses as much as digits as its factorization.
21219166224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 534 (or 265 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
Multiplying 21219166224 by its sum of digits (36), we get a square (763889984064 = 8740082).
21219166224 divided by its sum of digits (36) gives a square (589421284 = 242782).
Multiplying 21219166224 by its product of digits (20736), we get a square (440000630820864 = 209761922).
The spelling of 21219166224 in words is "twenty-one billion, two hundred nineteen million, one hundred sixty-six thousand, two hundred twenty-four".
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