Base | Representation |
---|---|
bin | 11100110000011… |
… | …00000100000000 |
3 | 121210220100020000 |
4 | 32120030010000 |
5 | 443223100023 |
6 | 35534120000 |
7 | 5656231545 |
oct | 1630140400 |
9 | 553810200 |
10 | 241221888 |
11 | 114188636 |
12 | 68950000 |
13 | 3ac8b05b |
14 | 24072bcc |
15 | 1629d243 |
hex | e60c100 |
241221888 has 90 divisors (see below), whose sum is σ = 719341854. Its totient is φ = 80400384.
The previous prime is 241221887. The next prime is 241221889. The reversal of 241221888 is 888122142.
It is an interprime number because it is at equal distance from previous prime (241221887) and next prime (241221889).
It can be written as a sum of positive squares in only one way, i.e., 219988224 + 21233664 = 14832^2 + 4608^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (241221887) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14920 + ... + 26552.
Almost surely, 2241221888 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 241221888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359670927).
241221888 is an abundant number, since it is smaller than the sum of its proper divisors (478119966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
241221888 is an equidigital number, since it uses as much as digits as its factorization.
241221888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11661 (or 11638 counting only the distinct ones).
The product of its digits is 16384, while the sum is 36.
The square root of 241221888 is about 15531.3195833451. The cubic root of 241221888 is about 622.4993525904.
It can be divided in two parts, 2412218 and 88, that added together give a triangular number (2412306 = T2196).
The spelling of 241221888 in words is "two hundred forty-one million, two hundred twenty-one thousand, eight hundred eighty-eight".
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