| Base | Representation |
|---|---|
| bin | 11010001111100… |
| … | …01110001001000 |
| 3 | 120100020101222000 |
| 4 | 31013301301020 |
| 5 | 422324031124 |
| 6 | 33502231000 |
| 7 | 5312116230 |
| oct | 1507616110 |
| 9 | 510211860 |
| 10 | 220142664 |
| 11 | 1032a0495 |
| 12 | 61885460 |
| 13 | 367ba641 |
| 14 | 21346cc0 |
| 15 | 144d76c9 |
| hex | d1f1c48 |
220142664 has 256 divisors, whose sum is σ = 752640000. Its totient is φ = 58226688.
The previous prime is 220142651. The next prime is 220142677. The reversal of 220142664 is 466241022.
It is an interprime number because it is at equal distance from previous prime (220142651) and next prime (220142677).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2269464 + ... + 2269560.
It is an arithmetic number, because the mean of its divisors is an integer number (2940000).
Almost surely, 2220142664 is an apocalyptic number.
220142664 is a gapful number since it is divisible by the number (24) 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 220142664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320000).
220142664 is an abundant number, since it is smaller than the sum of its proper divisors (532497336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220142664 is a wasteful number, since it uses less digits than its factorization.
220142664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 217 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 220142664 is about 14837.2053972438. The cubic root of 220142664 is about 603.8115357209.
Adding to 220142664 its reverse (466241022), we get a palindrome (686383686).
It can be divided in two parts, 220 and 142664, that added together give a square (142884 = 3782).
The spelling of 220142664 in words is "two hundred twenty million, one hundred forty-two thousand, six hundred sixty-four".
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