Base | Representation |
---|---|
bin | 11010100101001… |
… | …00101110101000 |
3 | 120112120012020100 |
4 | 31102210232220 |
5 | 424040112330 |
6 | 34043025400 |
7 | 5345144406 |
oct | 1522445650 |
9 | 515505210 |
10 | 222972840 |
11 | 104953882 |
12 | 6280b260 |
13 | 3726b8bc |
14 | 21882476 |
15 | 14896060 |
hex | d4a4ba8 |
222972840 has 72 divisors (see below), whose sum is σ = 725583690. Its totient is φ = 59383872.
The previous prime is 222972829. The next prime is 222972877. The reversal of 222972840 is 48279222.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 200675556 + 22297284 = 14166^2 + 4722^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 222972795 and 222972804.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 282927 + ... + 283713.
Almost surely, 2222972840 is an apocalyptic number.
222972840 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 222972840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362791845).
222972840 is an abundant number, since it is smaller than the sum of its proper divisors (502610850).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
222972840 is an equidigital number, since it uses as much as digits as its factorization.
222972840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1591 (or 797 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 222972840 is about 14932.2751113151. The cubic root of 222972840 is about 606.3880793646.
The spelling of 222972840 in words is "two hundred twenty-two million, nine hundred seventy-two thousand, eight hundred forty".
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