Base | Representation |
---|---|
bin | 10100101011001010… |
… | …001000110000000001 |
3 | 2010022002011200020211 |
4 | 110223022020300001 |
5 | 330430410222144 |
6 | 14110435434121 |
7 | 1414052441014 |
oct | 245312106001 |
9 | 63262150224 |
10 | 22198914049 |
11 | 9461787764 |
12 | 4376455941 |
13 | 212a118c00 |
14 | 110835d37b |
15 | 89dd21034 |
hex | 52b288c01 |
22198914049 has 27 divisors (see below), whose sum is σ = 24527896443. Its totient is φ = 20081872512.
The previous prime is 22198914037. The next prime is 22198914061. The reversal of 22198914049 is 94041989122.
The square root of 22198914049 is 148993.
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 (22198914037) and next prime (22198914061).
It can be written as a sum of positive squares in 13 ways, for example, as 20847028225 + 1351885824 = 144385^2 + 36768^2 .
It is a de Polignac number, because none of the positive numbers 2k-22198914049 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 22198913993 and 22198914011.
It is not an unprimeable number, because it can be changed into a prime (22198914019) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141394279 + ... + 141394435.
It is an arithmetic number, because the mean of its divisors is an integer number (908440609).
Almost surely, 222198914049 is an apocalyptic number.
22198914049 is the 148993-rd square number.
22198914049 is the 74497-th centered octagonal number.
It is an amenable number.
22198914049 is a deficient number, since it is larger than the sum of its proper divisors (2328982394).
22198914049 is an frugal number, since it uses more digits than its factorization.
22198914049 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 486 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 49.
Multiplying 22198914049 by its sum of digits (49), we get a square (1087746788401 = 10429512).
The spelling of 22198914049 in words is "twenty-two billion, one hundred ninety-eight million, nine hundred fourteen thousand, forty-nine".
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