Search a number
-
+
20304131224 = 23132947227631
BaseRepresentation
bin10010111010001110…
…000111010010011000
31221102000210201212011
4102322032013102120
5313040324144344
613154431555304
71316104160566
oct227216072230
957360721764
1020304131224
11867a175343
123b2798bb34
131bb76c0c40
14da8852a36
157dc7e3d34
hex4ba387498

20304131224 has 128 divisors (see below), whose sum is σ = 43574630400. Its totient is φ = 8802501120.

The previous prime is 20304131173. The next prime is 20304131227. The reversal of 20304131224 is 42213140302.

It is a super-2 number, since 2×203041312242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20304131195 and 20304131204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20304131227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32177389 + ... + 32178019.

It is an arithmetic number, because the mean of its divisors is an integer number (340426800).

Almost surely, 220304131224 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 20304131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21787315200).

20304131224 is an abundant number, since it is smaller than the sum of its proper divisors (23270499176).

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

20304131224 is a wasteful number, since it uses less digits than its factorization.

20304131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20304131224 its reverse (42213140302), we get a palindrome (62517271526).

The spelling of 20304131224 in words is "twenty billion, three hundred four million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 47 52 58 94 104 116 188 227 232 376 377 454 611 631 754 908 1222 1262 1363 1508 1816 2444 2524 2726 2951 3016 4888 5048 5452 5902 6583 8203 10669 10904 11804 13166 16406 17719 18299 21338 23608 26332 29657 32812 35438 36598 42676 52664 59314 65624 70876 73196 85352 85579 118628 138697 141752 143237 146392 171158 237256 237887 277394 286474 309401 342316 385541 475774 554788 572948 618802 684632 771082 860053 951548 1109576 1145896 1237604 1542164 1720106 1862081 1903096 2475208 3084328 3440212 3724162 4022213 4153873 6732139 6880424 7448324 8044426 8307746 11180689 13464278 14896648 16088852 16615492 22361378 26928556 32177704 33230984 44722756 53857112 54000349 87517807 89445512 108000698 175035614 195232031 216001396 350071228 390464062 432002792 700142456 780928124 1561856248 2538016403 5076032806 10152065612 20304131224