Search a number
-
+
22210123230020 = 2251117236179131409
BaseRepresentation
bin1010000110011001100101…
…00000010110101101000100
32220122021012200020102001102
411003030302200112231010
510402342313021330040
6115123104553115232
74451425362352055
oct503146240265504
986567180212042
1022210123230020
117093295601620
1225a85793b8b18
13c5153723c8bb
1456ad9346c72c
15287b09dd8515
hex143332816b44

22210123230020 has 768 divisors, whose sum is σ = 58445859225600. Its totient is φ = 6990077952000.

The previous prime is 22210123229977. The next prime is 22210123230023. The reversal of 22210123230020 is 2003232101222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22210123229974 and 22210123230001.

It is not an unprimeable number, because it can be changed into a prime (22210123230023) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54303479576 + ... + 54303479984.

It is an arithmetic number, because the mean of its divisors is an integer number (76101379200).

Almost surely, 222210123230020 is an apocalyptic number.

22210123230020 is a gapful number since it is divisible by the number (20) 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 22210123230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29222929612800).

22210123230020 is an abundant number, since it is smaller than the sum of its proper divisors (36235735995580).

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

22210123230020 is a wasteful number, since it uses less digits than its factorization.

22210123230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22210123230020 its reverse (2003232101222), we get a palindrome (24213355331242).

The spelling of 22210123230020 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-three million, two hundred thirty thousand, twenty".