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20220213220000 = 255411326334019
BaseRepresentation
bin1001001100011111000101…
…01000000101001010100000
32122121000220102111011020221
410212033202220011022200
510122241444041020000
6111001012051412424
74154601506350303
oct446174250051240
978530812434227
1020220213220000
11649638724a632
1223269905b4114
13b389b1213201
144dc940a88b3a
15250e92b4261a
hex1263e2a052a0

20220213220000 has 240 divisors, whose sum is σ = 50377274861760. Its totient is φ = 7985793536000.

The previous prime is 20220213219959. The next prime is 20220213220019. The reversal of 20220213220000 is 2231202202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 594362991 + ... + 594397009.

It is an arithmetic number, because the mean of its divisors is an integer number (209905311924).

Almost surely, 220220213220000 is an apocalyptic number.

20220213220000 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 20220213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188637430880).

20220213220000 is an abundant number, since it is smaller than the sum of its proper divisors (30157061641760).

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

20220213220000 is a wasteful number, since it uses less digits than its factorization.

20220213220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34425 (or 34402 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20220213220000 its reverse (2231202202), we get a palindrome (20222444422202).

The spelling of 20220213220000 in words is "twenty trillion, two hundred twenty billion, two hundred thirteen million, two hundred twenty thousand".