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222020020222000 = 2453711131019831117
BaseRepresentation
bin110010011110110100010000…
…011100000011100000110000
31002010002220110221112001210221
4302132310100130003200300
5213100034000134101000
62104110331135302424
764523263034043610
oct6236642034034060
91063086427461727
10222020020222000
1164819186402290
1220a98b7367aa14
1396b6523742090
143cb7b7d59ca40
151aa03b481561a
hexc9ed10703830

222020020222000 has 1280 divisors, whose sum is σ = 729327576047616. Its totient is φ = 63124531200000.

The previous prime is 222020020221991. The next prime is 222020020222001. The reversal of 222020020222000 is 222020020222.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (222020020222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 198764565442 + ... + 198764566558.

Almost surely, 2222020020222000 is an apocalyptic number.

222020020222000 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 222020020222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364663788023808).

222020020222000 is an abundant number, since it is smaller than the sum of its proper divisors (507307555825616).

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

222020020222000 is a wasteful number, since it uses less digits than its factorization.

222020020222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 222020020222000 its reverse (222020020222), we get a palindrome (222242040242222).

222020020222000 divided by its reverse (222020020222) gives a cube (1000 = 103).

The spelling of 222020020222000 in words is "two hundred twenty-two trillion, twenty billion, twenty million, two hundred twenty-two thousand".