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20221330332000 = 253537240730123
BaseRepresentation
bin1001001100100001001010…
…01101100001100101100000
32122121010210021112022211110
410212100211031201211200
510122301241031111000
6111001314555143320
74154641262553510
oct446204515414540
978533707468743
1020221330332000
1164968aa892396
122327042744b40
13b38b2b7a5925
144dca0919d840
1525100ac58850
hex126425361960

20221330332000 has 192 divisors, whose sum is σ = 75708661077504. Its totient is φ = 4622018342400.

The previous prime is 20221330331963. The next prime is 20221330332037. The reversal of 20221330332000 is 23303312202.

It is an interprime number because it is at equal distance from previous prime (20221330331963) and next prime (20221330332037).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 120281062 + ... + 120449061.

It is an arithmetic number, because the mean of its divisors is an integer number (394315943112).

Almost surely, 220221330332000 is an apocalyptic number.

20221330332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221330332000 is an abundant number, since it is smaller than the sum of its proper divisors (55487330745504).

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

20221330332000 is a wasteful number, since it uses less digits than its factorization.

20221330332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240730158 (or 240730140 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20221330332000 its reverse (23303312202), we get a palindrome (20244633644202).

The spelling of 20221330332000 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirty million, three hundred thirty-two thousand".