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22322320020 = 2232571113229541
BaseRepresentation
bin10100110010100000…
…111001001010010100
32010121200101100102100
4110302200321022110
5331204003220040
614131004442100
71420111406130
oct246240711224
963550340370
1022322320020
119515405470
1243ab849330
1321498661b0
14111a8c43c0
158a9a9ab30
hex532839294

22322320020 has 576 divisors, whose sum is σ = 91478499840. Its totient is φ = 4255027200.

The previous prime is 22322320001. The next prime is 22322320037. The reversal of 22322320020 is 2002322322.

22322320020 is a `hidden beast` number, since 2 + 2 + 322 + 320 + 0 + 20 = 666.

It is a super-3 number, since 3×223223200203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22322319975 and 22322320002.

It is a congruent number.

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, 41260950 + ... + 41261490.

It is an arithmetic number, because the mean of its divisors is an integer number (158816840).

Almost surely, 222322320020 is an apocalyptic number.

22322320020 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 22322320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45739249920).

22322320020 is an abundant number, since it is smaller than the sum of its proper divisors (69156179820).

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

22322320020 is a wasteful number, since it uses less digits than its factorization.

22322320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22322320020 its reverse (2002322322), we get a palindrome (24324642342).

The spelling of 22322320020 in words is "twenty-two billion, three hundred twenty-two million, three hundred twenty thousand, twenty".