Base | Representation |
---|---|
bin | 1001000110101110010011… |
… | …11110101100110000100100 |
3 | 2121220002212201102122220200 |
4 | 10203113021332230300210 |
5 | 10111021012143121312 |
6 | 110330030330230500 |
7 | 4134362361220032 |
oct | 443271176546044 |
9 | 77802781378820 |
10 | 20022231223332 |
11 | 641a420602188 |
12 | 22b4538885430 |
13 | b2311c002a60 |
14 | 4d311c9cb552 |
15 | 24ac5693a0dc |
hex | 1235c9facc24 |
20022231223332 has 144 divisors (see below), whose sum is σ = 54722157457968. Its totient is φ = 6136180116480.
The previous prime is 20022231223283. The next prime is 20022231223381. The reversal of 20022231223332 is 23332213222002.
20022231223332 is a `hidden beast` number, since 200 + 2 + 2 + 2 + 3 + 122 + 3 + 332 = 666.
It is an interprime number because it is at equal distance from previous prime (20022231223283) and next prime (20022231223381).
It can be written as a sum of positive squares in 8 ways, for example, as 8031136573476 + 11991094649856 = 2833926^2 + 3462816^2 .
It is a super-2 number, since 2×200222312233322 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 20022231223296 and 20022231223305.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134863782 + ... + 135012162.
It is an arithmetic number, because the mean of its divisors is an integer number (380014982347).
Almost surely, 220022231223332 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 20022231223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27361078728984).
20022231223332 is an abundant number, since it is smaller than the sum of its proper divisors (34699926234636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20022231223332 is a wasteful number, since it uses less digits than its factorization.
20022231223332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149550 (or 149545 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
Adding to 20022231223332 its reverse (23332213222002), we get a palindrome (43354444445334).
The spelling of 20022231223332 in words is "twenty trillion, twenty-two billion, two hundred thirty-one million, two hundred twenty-three thousand, three hundred thirty-two".
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