Base | Representation |
---|---|
bin | 1000010001110110… |
… | …1010010110100100 |
3 | 12201212210000000000 |
4 | 2010131222112210 |
5 | 14022411240124 |
6 | 1004305021300 |
7 | 106033550322 |
oct | 20435522644 |
9 | 5655700000 |
10 | 2222368164 |
11 | a40518105 |
12 | 520324830 |
13 | 295563963 |
14 | 171220d12 |
15 | d01896c9 |
hex | 8476a5a4 |
2222368164 has 99 divisors (see below), whose sum is σ = 5894444577. Its totient is φ = 733152384.
The previous prime is 2222368151. The next prime is 2222368177. The reversal of 2222368164 is 4618632222.
The square root of 2222368164 is 47142.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (2222368151) and next prime (2222368177).
It can be written as a sum of positive squares in only one way, i.e., 997928100 + 1224440064 = 31590^2 + 34992^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 22910964 + ... + 22911060.
Almost surely, 22222368164 is an apocalyptic number.
2222368164 is the 47142-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2222368164
2222368164 is an abundant number, since it is smaller than the sum of its proper divisors (3672076413).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222368164 is an frugal number, since it uses more digits than its factorization.
2222368164 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 228 (or 102 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The cubic root of 2222368164 is about 1304.9844469014.
Multiplying 2222368164 by its sum of digits (36), we get a square (80005253904 = 2828522).
2222368164 divided by its sum of digits (36) gives a square (61732449 = 78572).
It can be divided in two parts, 222236 and 8164, that added together give a square (230400 = 4802).
The spelling of 2222368164 in words is "two billion, two hundred twenty-two million, three hundred sixty-eight thousand, one hundred sixty-four".
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