Base | Representation |
---|---|
bin | 100000010100110101111… |
… | …000010010101101101110 |
3 | 21212100211022211212200000 |
4 | 200110311320102231232 |
5 | 242343412410304243 |
6 | 4420255323045130 |
7 | 316330261542444 |
oct | 40246570225556 |
9 | 7770738755600 |
10 | 2221402041198 |
11 | 7871005a433a |
12 | 2ba6330707a6 |
13 | 131628872a42 |
14 | 7973313ab94 |
15 | 3cbb53175d3 |
hex | 20535e12b6e |
2221402041198 has 96 divisors (see below), whose sum is σ = 5108429918592. Its totient is φ = 723097821600.
The previous prime is 2221402041197. The next prime is 2221402041263. The reversal of 2221402041198 is 8911402041222.
2221402041198 is a `hidden beast` number, since 2 + 2 + 21 + 402 + 0 + 41 + 198 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2221402041193) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150688108 + ... + 150702848.
It is an arithmetic number, because the mean of its divisors is an integer number (53212811652).
Almost surely, 22221402041198 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2221402041198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554214959296).
2221402041198 is an abundant number, since it is smaller than the sum of its proper divisors (2887027877394).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221402041198 is a wasteful number, since it uses less digits than its factorization.
2221402041198 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22012 (or 22000 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
The spelling of 2221402041198 in words is "two trillion, two hundred twenty-one billion, four hundred two million, forty-one thousand, one hundred ninety-eight".
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