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20220022132200 = 233352111735935573
BaseRepresentation
bin1001001100011110101110…
…01111001000110111101000
32122121000102002220220002000
410212033113033020313220
510122241101131212300
6111000541104011000
74154563666212102
oct446172717106750
978530362826060
1020220022132200
1164962993a4530
122326938600a60
13b389807595c7
144dc923546572
15250e80e98c00
hex1263d73c8de8

20220022132200 has 768 divisors, whose sum is σ = 80484404025600. Its totient is φ = 4611369369600.

The previous prime is 20220022132157. The next prime is 20220022132207. The reversal of 20220022132200 is 223122002202.

20220022132200 is a `hidden beast` number, since 2 + 0 + 220 + 0 + 221 + 3 + 220 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20220022132207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3628208614 + ... + 3628214186.

It is an arithmetic number, because the mean of its divisors is an integer number (104797401075).

Almost surely, 220220022132200 is an apocalyptic number.

20220022132200 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 20220022132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40242202012800).

20220022132200 is an abundant number, since it is smaller than the sum of its proper divisors (60264381893400).

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

20220022132200 is a wasteful number, since it uses less digits than its factorization.

20220022132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20220022132200 its reverse (223122002202), we get a palindrome (20443144134402).

The spelling of 20220022132200 in words is "twenty trillion, two hundred twenty billion, twenty-two million, one hundred thirty-two thousand, two hundred".