| Base | Representation |
|---|---|
| bin | 1100110111100111011… |
| … | …1111100010001000000 |
| 3 | 210010200000011010000221 |
| 4 | 3031321313330101000 |
| 5 | 12110242014240000 |
| 6 | 245322203552424 |
| 7 | 21654524222122 |
| oct | 3157167742100 |
| 9 | 703600133027 |
| 10 | 221088040000 |
| 11 | 85843486833 |
| 12 | 36a21b2b714 |
| 13 | 17b0524aa59 |
| 14 | a9b4ab1212 |
| 15 | 5b3e9b261a |
| hex | 3379dfc440 |
221088040000 has 105 divisors (see below), whose sum is σ = 548459773411. Its totient is φ = 88397600000.
The previous prime is 221088039943. The next prime is 221088040003. The reversal of 221088040000 is 40880122.
The square root of 221088040000 is 470200.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 2 ways, for example, as 17333302336 + 203754737664 = 131656^2 + 451392^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (221088040003) by changing a digit.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 94038825 + ... + 94041175.
Almost surely, 2221088040000 is an apocalyptic number.
221088040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
221088040000 is the 470200-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221088040000
221088040000 is an abundant number, since it is smaller than the sum of its proper divisors (327371733411).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221088040000 is an frugal number, since it uses more digits than its factorization.
221088040000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4734 (or 2358 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 25.
Multiplying 221088040000 by its sum of digits (25), we get a square (5527201000000 = 23510002).
221088040000 divided by its sum of digits (25) gives a square (8843521600 = 940402).
Multiplying 221088040000 by its product of nonzero digits (1024), we get a square (226394152960000 = 150464002).
The spelling of 221088040000 in words is "two hundred twenty-one billion, eighty-eight million, forty thousand".
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