Search a number
-
+
2231042472 = 2332193152609
BaseRepresentation
bin1000010011111011…
…0000000110101000
312202111002200220200
42010332300012220
514032121324342
61005214552200
7106200356001
oct20476600650
95674080820
102231042472
11a4540225a
12523208660
132972acc99
1417243c1a8
15d0cee94c
hex84fb01a8

2231042472 has 96 divisors (see below), whose sum is σ = 6565728000. Its totient is φ = 681799680.

The previous prime is 2231042449. The next prime is 2231042563. The reversal of 2231042472 is 2742401322.

2231042472 is a `hidden beast` number, since 2 + 231 + 0 + 424 + 7 + 2 = 666.

It is a super-3 number, since 3×22310424723 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16104 + ... + 68712.

It is an arithmetic number, because the mean of its divisors is an integer number (68393000).

Almost surely, 22231042472 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 2231042472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282864000).

2231042472 is an abundant number, since it is smaller than the sum of its proper divisors (4334685528).

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

2231042472 is a wasteful number, since it uses less digits than its factorization.

2231042472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52671 (or 52664 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2231042472 is about 47233.9123088486. The cubic root of 2231042472 is about 1306.6801067038.

Adding to 2231042472 its reverse (2742401322), we get a palindrome (4973443794).

The spelling of 2231042472 in words is "two billion, two hundred thirty-one million, forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 7068 10602 14136 21204 42408 52609 105218 157827 210436 315654 420872 473481 631308 946962 999571 1262616 1630879 1893924 1999142 2998713 3261758 3787848 3998284 4892637 5997426 6523516 7996568 8996139 9785274 11994852 13047032 14677911 17992278 19570548 23989704 29355822 30986701 35984556 39141096 58711644 61973402 71969112 92960103 117423288 123946804 185920206 247893608 278880309 371840412 557760618 743680824 1115521236 2231042472