Search a number
-
+
221004342 = 23313261397
BaseRepresentation
bin11010010110001…
…00001000110110
3120101212011222000
431023010020312
5423034114332
633532520130
75322335346
oct1513041066
9511764860
10221004342
11103829919
1262020046
1336a2c900
14214ccd26
1514607b7c
hexd2c4236

221004342 has 96 divisors (see below), whose sum is σ = 541884960. Its totient is φ = 66718080.

The previous prime is 221004341. The next prime is 221004353. The reversal of 221004342 is 243400122.

221004342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221004341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556488 + ... + 556884.

It is an arithmetic number, because the mean of its divisors is an integer number (5644635).

Almost surely, 2221004342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221004342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270942480).

221004342 is an abundant number, since it is smaller than the sum of its proper divisors (320880618).

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

221004342 is a wasteful number, since it uses less digits than its factorization.

221004342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221004342 is about 14866.2147838648. The cubic root of 221004342 is about 604.5983190756.

Adding to 221004342 its reverse (243400122), we get a palindrome (464404464).

The spelling of 221004342 in words is "two hundred twenty-one million, four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 169 183 234 338 351 366 397 507 549 702 793 794 1014 1098 1191 1521 1586 1647 2379 2382 3042 3294 3573 4563 4758 5161 7137 7146 9126 10309 10322 10719 14274 15483 20618 21411 21438 24217 30927 30966 42822 46449 48434 61854 67093 72651 92781 92898 134186 139347 145302 185562 201279 217953 278343 278694 314821 402558 435906 556686 603837 629642 653859 944463 1207674 1307718 1811511 1888926 2833389 3623022 4092673 5666778 8185346 8500167 12278019 17000334 24556038 36834057 73668114 110502171 221004342