Search a number
-
+
213181332 = 223713215017
BaseRepresentation
bin11001011010011…
…10001110010100
3112212010201210220
430231032032110
5414033300312
633053114340
75166003630
oct1455161624
9485121726
10213181332
11aa376321
125b4889b0
1335220c00
1420453dc0
1513aaec8c
hexcb4e394

213181332 has 72 divisors (see below), whose sum is σ = 615617856. Its totient is φ = 56219904.

The previous prime is 213181307. The next prime is 213181361. The reversal of 213181332 is 233181312.

213181332 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6688 + ... + 21704.

It is an arithmetic number, because the mean of its divisors is an integer number (8550248).

Almost surely, 2213181332 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 213181332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307808928).

213181332 is an abundant number, since it is smaller than the sum of its proper divisors (402436524).

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

213181332 is a wasteful number, since it uses less digits than its factorization.

213181332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15057 (or 15042 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 213181332 is about 14600.7305296687. The cubic root of 213181332 is about 597.3786867613.

The spelling of 213181332 in words is "two hundred thirteen million, one hundred eighty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 364 507 546 676 1014 1092 1183 2028 2366 3549 4732 7098 14196 15017 30034 45051 60068 90102 105119 180204 195221 210238 315357 390442 420476 585663 630714 780884 1171326 1261428 1366547 2342652 2537873 2733094 4099641 5075746 5466188 7613619 8199282 10151492 15227238 16398564 17765111 30454476 35530222 53295333 71060444 106590666 213181332