Base | Representation |
---|---|
bin | 100000101000001011010… |
… | …110100101111000000000 |
3 | 21221100102020000012010000 |
4 | 200220023112211320000 |
5 | 243213422312301232 |
6 | 4434011411040000 |
7 | 320663620305042 |
oct | 40501326457000 |
9 | 7840366005100 |
10 | 2242163400192 |
11 | 794994871671 |
12 | 302667ba0000 |
13 | 133586bc1451 |
14 | 7a7425ada92 |
15 | 3d4ccd2627c |
hex | 20a0b5a5e00 |
2242163400192 has 800 divisors, whose sum is σ = 7073919195552. Its totient is φ = 706316599296.
The previous prime is 2242163400167. The next prime is 2242163400289. The reversal of 2242163400192 is 2910043612422.
It is a happy number.
2242163400192 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 1 + 63 + 400 + 192 = 666.
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 79 ways as a sum of consecutive naturals, for example, 11617426848 + ... + 11617427040.
Almost surely, 22242163400192 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2242163400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536959597776).
2242163400192 is an abundant number, since it is smaller than the sum of its proper divisors (4831755795360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242163400192 is a wasteful number, since it uses less digits than its factorization.
2242163400192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 440 (or 415 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 2242163400192 in words is "two trillion, two hundred forty-two billion, one hundred sixty-three million, four hundred thousand, one hundred ninety-two".
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