Search a number
-
+
213324534 = 23217977187
BaseRepresentation
bin11001011011100…
…01001011110110
3112212102000020200
430231301023312
5414102341114
633100141330
75200141263
oct1455611366
9485360220
10213324534
11aa463975
125b537846
1335271147
142049026a
1513adc409
hexcb712f6

213324534 has 48 divisors (see below), whose sum is σ = 494505648. Its totient is φ = 66226176.

The previous prime is 213324511. The next prime is 213324557. The reversal of 213324534 is 435423312.

It is an interprime number because it is at equal distance from previous prime (213324511) and next prime (213324557).

It is a junction number, because it is equal to n+sod(n) for n = 213324498 and 213324507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26089 + ... + 33275.

It is an arithmetic number, because the mean of its divisors is an integer number (10302201).

Almost surely, 2213324534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213324534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247252824).

213324534 is an abundant number, since it is smaller than the sum of its proper divisors (281181114).

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

213324534 is a wasteful number, since it uses less digits than its factorization.

213324534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7306 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 213324534 is about 14605.6336391134. The cubic root of 213324534 is about 597.5124174750.

Adding to 213324534 its reverse (435423312), we get a palindrome (648747846).

The spelling of 213324534 in words is "two hundred thirteen million, three hundred twenty-four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 582 873 1649 1746 3298 4947 7187 9894 14374 14841 21561 29682 43122 64683 122179 129366 244358 366537 697139 733074 1099611 1394278 2091417 2199222 4182834 6274251 11851363 12548502 23702726 35554089 71108178 106662267 213324534