Search a number
-
+
2184870324 = 2237132968993
BaseRepresentation
bin1000001000111010…
…0111100110110100
312122021012220122010
42002032213212310
513433311322244
61000445204220
7105100043220
oct20216474664
95567186563
102184870324
11a2133645a
1250b860670
1328a864ca0
1416a25d780
15cbc2deb9
hex823a79b4

2184870324 has 96 divisors (see below), whose sum is σ = 6490955520. Its totient is φ = 556351488.

The previous prime is 2184870301. The next prime is 2184870371. The reversal of 2184870324 is 4230784812.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829 + ... + 66164.

It is an arithmetic number, because the mean of its divisors is an integer number (67614120).

Almost surely, 22184870324 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 2184870324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245477760).

2184870324 is an abundant number, since it is smaller than the sum of its proper divisors (4306085196).

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

2184870324 is a wasteful number, since it uses less digits than its factorization.

2184870324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69049 (or 69047 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2184870324 is about 46742.5964618997. The cubic root of 2184870324 is about 1297.6031425166.

The spelling of 2184870324 in words is "two billion, one hundred eighty-four million, eight hundred seventy thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 2262 2436 2639 4524 5278 7917 10556 15834 31668 68993 137986 206979 275972 413958 482951 827916 896909 965902 1448853 1793818 1931804 2000797 2690727 2897706 3587636 4001594 5381454 5795412 6002391 6278363 8003188 10762908 12004782 12556726 14005579 18835089 24009564 25113452 26010361 28011158 37670178 42016737 52020722 56022316 75340356 78031083 84033474 104041444 156062166 168066948 182072527 312124332 364145054 546217581 728290108 1092435162 2184870324