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22210001000020 = 2251765323532353
BaseRepresentation
bin1010000110011001010110…
…01110000101011001010100
32220122020220011020111000101
411003030223032011121110
510402342040224000040
6115123044505223444
74451422346412301
oct503145316053124
986566804214011
1022210001000020
117093232607399
1225a8544491b84
13c51517b14962
1456ad811320a8
15287aee2e209a
hex14332b385654

22210001000020 has 24 divisors (see below), whose sum is σ = 49384590459624. Its totient is φ = 8361412141056.

The previous prime is 22210000999997. The next prime is 22210001000023. The reversal of 22210001000020 is 2000010001222.

It can be written as a sum of positive squares in 4 ways, for example, as 3894733826064 + 18315267173956 = 1973508^2 + 4279634^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22210000999970 and 22210001000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210001000023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32661765837 + ... + 32661766516.

It is an arithmetic number, because the mean of its divisors is an integer number (2057691269151).

Almost surely, 222210001000020 is an apocalyptic number.

22210001000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210001000020 is an abundant number, since it is smaller than the sum of its proper divisors (27174589459604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22210001000020 is a wasteful number, since it uses less digits than its factorization.

22210001000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65323532379 (or 65323532377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22210001000020 its reverse (2000010001222), we get a palindrome (24210011001242).

The spelling of 22210001000020 in words is "twenty-two trillion, two hundred ten billion, one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 65323532353 130647064706 261294129412 326617661765 653235323530 1110500050001 1306470647060 2221000100002 4442000200004 5552500250005 11105000500010 22210001000020