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23202230220 = 223351317591879
BaseRepresentation
bin10101100110111101…
…011110111111001100
32012220000002102022000
4111212331132333030
5340004232331340
614354200152300
71450654463031
oct254675367714
965800072260
1023202230220
119927065a84
1245b6468690
132259c47610
1411a16d1388
1590be59d30
hex566f5efcc

23202230220 has 192 divisors, whose sum is σ = 77822976000. Its totient is φ = 5705033472.

The previous prime is 23202230113. The next prime is 23202230239. The reversal of 23202230220 is 2203220232.

23202230220 is a `hidden beast` number, since 2 + 320 + 22 + 302 + 20 = 666.

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 = 23202230193 and 23202230202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12347241 + ... + 12349119.

It is an arithmetic number, because the mean of its divisors is an integer number (405328000).

Almost surely, 223202230220 is an apocalyptic number.

23202230220 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 23202230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38911488000).

23202230220 is an abundant number, since it is smaller than the sum of its proper divisors (54620745780).

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

23202230220 is a wasteful number, since it uses less digits than its factorization.

23202230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3661 counting only the distinct ones).

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

Adding to 23202230220 its reverse (2203220232), we get a palindrome (25405450452).

The spelling of 23202230220 in words is "twenty-three billion, two hundred two million, two hundred thirty thousand, two hundred twenty".