Base | Representation |
---|---|
bin | 10100011111011000… |
… | …010101111001100100 |
3 | 2002210022100102021200 |
4 | 110133120111321210 |
5 | 330024313430312 |
6 | 14035100242500 |
7 | 1406133026550 |
oct | 243730257144 |
9 | 62708312250 |
10 | 22001311332 |
11 | 9370191930 |
12 | 4320240430 |
13 | 20c81c0b20 |
14 | 10ca002860 |
15 | 88b7dc0dc |
hex | 51f615e64 |
22001311332 has 576 divisors, whose sum is σ = 79473139200. Its totient is φ = 4946780160.
The previous prime is 22001311249. The next prime is 22001311393. The reversal of 22001311332 is 23311310022.
22001311332 is a `hidden beast` number, since 2 + 20 + 0 + 1 + 311 + 332 = 666.
It is a super-2 number, since 2×220013113322 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38666344 + ... + 38666912.
It is an arithmetic number, because the mean of its divisors is an integer number (137974200).
Almost surely, 222001311332 is an apocalyptic number.
22001311332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22001311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39736569600).
22001311332 is an abundant number, since it is smaller than the sum of its proper divisors (57471827868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22001311332 is a wasteful number, since it uses less digits than its factorization.
22001311332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 676 (or 671 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 22001311332 its reverse (23311310022), we get a palindrome (45312621354).
It can be divided in two parts, 22001 and 311332, that added together give a palindrome (333333).
The spelling of 22001311332 in words is "twenty-two billion, one million, three hundred eleven thousand, three hundred thirty-two".
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