Search a number
-
+
221143398 = 2373125479
BaseRepresentation
bin11010010111001…
…10000101100110
3120102010020201020
431023212011212
5423103042043
633535512010
75323454640
oct1513460546
9512106636
10221143398
11103914343
1262088606
1336a7aca8
1421527890
1514633e83
hexd2e6166

221143398 has 48 divisors (see below), whose sum is σ = 522397440. Its totient is φ = 61134480.

The previous prime is 221143393. The next prime is 221143399. The reversal of 221143398 is 893341122.

221143398 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221143393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37623 + ... + 43101.

It is an arithmetic number, because the mean of its divisors is an integer number (10883280).

Almost surely, 2221143398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221143398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261198720).

221143398 is an abundant number, since it is smaller than the sum of its proper divisors (301254042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221143398 is a wasteful number, since it uses less digits than its factorization.

221143398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5522 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 221143398 is about 14870.8909618758. The cubic root of 221143398 is about 604.7250969726.

The spelling of 221143398 in words is "two hundred twenty-one million, one hundred forty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 961 1302 1922 2883 5479 5766 6727 10958 13454 16437 20181 32874 38353 40362 76706 115059 169849 230118 339698 509547 1019094 1188943 2377886 3566829 5265319 7133658 10530638 15795957 31591914 36857233 73714466 110571699 221143398