| Base | Representation |
|---|---|
| bin | 11010010101111… |
| … | …01101011101100 |
| 3 | 120101210211200200 |
| 4 | 31022331223230 |
| 5 | 423032243100 |
| 6 | 33532153500 |
| 7 | 5322165303 |
| oct | 1512755354 |
| 9 | 511724620 |
| 10 | 220977900 |
| 11 | 103810a70 |
| 12 | 62008890 |
| 13 | 36a20870 |
| 14 | 214c343a |
| 15 | 145eee00 |
| hex | d2bdaec |
220977900 has 432 divisors, whose sum is σ = 870131808. Its totient is φ = 46080000.
The previous prime is 220977871. The next prime is 220977919. The reversal of 220977900 is 9779022.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2187850 + ... + 2187950.
It is an arithmetic number, because the mean of its divisors is an integer number (2014194).
Almost surely, 2220977900 is an apocalyptic number.
220977900 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 220977900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435065904).
220977900 is an abundant number, since it is smaller than the sum of its proper divisors (649153908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220977900 is a wasteful number, since it uses less digits than its factorization.
220977900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 15876, while the sum is 36.
The square root of 220977900 is about 14865.3254252976. The cubic root of 220977900 is about 604.5742057841.
Adding to 220977900 its product of nonzero digits (15876), we get a triangular number (220993776 = T21023).
It can be divided in two parts, 2 and 20977900, that added together give a palindrome (20977902).
The spelling of 220977900 in words is "two hundred twenty million, nine hundred seventy-seven thousand, nine hundred".
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