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223221044020 = 22513329283619
BaseRepresentation
bin1100111111100100000…
…0101101001100110100
3210100011122202221110211
43033321000231030310
512124124041402040
6250314001355204
722061424365542
oct3177100551464
9710148687424
10223221044020
1186738507277
1237318338b04
1318085123000
14ab380acd92
155c16d988ea
hex33f902d334

223221044020 has 192 divisors, whose sum is σ = 528028704000. Its totient is φ = 79168707072.

The previous prime is 223221043961. The next prime is 223221044021. The reversal of 223221044020 is 20440122322.

223221044020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232210440203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223221043982 and 223221044000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221044021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360615271 + ... + 360615889.

It is an arithmetic number, because the mean of its divisors is an integer number (2750149500).

Almost surely, 2223221044020 is an apocalyptic number.

223221044020 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 223221044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264014352000).

223221044020 is an abundant number, since it is smaller than the sum of its proper divisors (304807659980).

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

223221044020 is a wasteful number, since it uses less digits than its factorization.

223221044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 223221044020 its reverse (20440122322), we get a palindrome (243661166342).

The spelling of 223221044020 in words is "two hundred twenty-three billion, two hundred twenty-one million, forty-four thousand, twenty".