Search a number
-
+
216324468 = 223289107631
BaseRepresentation
bin11001110010011…
…01100101110100
3120002001102101100
430321031211310
5420334340333
633244330100
75234504403
oct1471154564
9502042340
10216324468
11101122858
1260543930
1335a81759
1420a3163a
1513ed1213
hexce4d974

216324468 has 72 divisors (see below), whose sum is σ = 559016640. Its totient is φ = 70519680.

The previous prime is 216324467. The next prime is 216324497. The reversal of 216324468 is 864423612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216324461) 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, 342513 + ... + 343143.

It is an arithmetic number, because the mean of its divisors is an integer number (7764120).

Almost surely, 2216324468 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 216324468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279508320).

216324468 is an abundant number, since it is smaller than the sum of its proper divisors (342692172).

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

216324468 is a wasteful number, since it uses less digits than its factorization.

216324468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 216324468 is about 14707.9729398718. The cubic root of 216324468 is about 600.3002830251.

The spelling of 216324468 in words is "two hundred sixteen million, three hundred twenty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 107 178 214 267 321 356 428 534 631 642 801 963 1068 1262 1284 1602 1893 1926 2524 3204 3786 3852 5679 7572 9523 11358 19046 22716 28569 38092 56159 57138 67517 85707 112318 114276 135034 168477 171414 202551 224636 270068 336954 342828 405102 505431 607653 673908 810204 1010862 1215306 2021724 2430612 6009013 12018026 18027039 24036052 36054078 54081117 72108156 108162234 216324468