| Base | Representation |
|---|---|
| bin | 110010010010000010110000… |
| … | …001100111010010011011000 |
| 3 | 1001222222222202101201000110120 |
| 4 | 302102002300030322103120 |
| 5 | 212441143242432423000 |
| 6 | 2102155201122113240 |
| 7 | 64402666445646210 |
| oct | 6222026014722330 |
| 9 | 1058888671630416 |
| 10 | 221142232311000 |
| 11 | 6450a991a78740 |
| 12 | 20976a1a1ab820 |
| 13 | 9651813a35900 |
| 14 | 3c874ac1a5240 |
| 15 | 1a8763c35d6a0 |
| hex | c920b033a4d8 |
221142232311000 has 3072 divisors, whose sum is σ = 962071802265600. Its totient is φ = 41046939648000.
The previous prime is 221142232310957. The next prime is 221142232311001. The reversal of 221142232311000 is 113232241122.
It is a super-2 number, since 2×2211422323110002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221142232311001) 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 767 ways as a sum of consecutive naturals, for example, 154321166284 + ... + 154321167716.
It is an arithmetic number, because the mean of its divisors is an integer number (313174414800).
Almost surely, 2221142232311000 is an apocalyptic number.
221142232311000 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 221142232311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481035901132800).
221142232311000 is an abundant number, since it is smaller than the sum of its proper divisors (740929569954600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221142232311000 is a wasteful number, since it uses less digits than its factorization.
221142232311000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1627 (or 1600 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
Adding to 221142232311000 its reverse (113232241122), we get a palindrome (221255464552122).
The spelling of 221142232311000 in words is "two hundred twenty-one trillion, one hundred forty-two billion, two hundred thirty-two million, three hundred eleven thousand".
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