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201222232000 = 265397349743
BaseRepresentation
bin1011101101100111000…
…1111001011111000000
3201020101112010111121021
42323121301321133000
511244100342411000
6232235030435224
720352321515416
oct2733161713700
9636345114537
10201222232000
1178379782199
1232bb8b02b14
1315c8a5c898a
149a4c55b2b6
15537a90211a
hex2ed9c797c0

201222232000 has 224 divisors, whose sum is σ = 505586390400. Its totient is φ = 79323955200.

The previous prime is 201222231989. The next prime is 201222232037. The reversal of 201222232000 is 232222102.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270823629 + ... + 270824371.

It is an arithmetic number, because the mean of its divisors is an integer number (2257082100).

Almost surely, 2201222232000 is an apocalyptic number.

201222232000 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 201222232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252793195200).

201222232000 is an abundant number, since it is smaller than the sum of its proper divisors (304364158400).

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

201222232000 is an equidigital number, since it uses as much as digits as its factorization.

201222232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1196 counting only the distinct ones).

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

Adding to 201222232000 its reverse (232222102), we get a palindrome (201454454102).

The spelling of 201222232000 in words is "two hundred one billion, two hundred twenty-two million, two hundred thirty-two thousand".