Search a number
-
+
1222024170740 = 225318389266821
BaseRepresentation
bin10001110010000110010…
…100010000110011110100
311022211020222001220110212
4101302012110100303310
5130010201141430430
62333220135004552
7154200620031242
oct21620624206364
94284228056425
101222024170740
1143129187159a
12178a05509758
138b30c4505b9
144320959b792
1521bc34e0b95
hex11c86510cf4

1222024170740 has 96 divisors (see below), whose sum is σ = 2711082286080. Its totient is φ = 462089548800.

The previous prime is 1222024170691. The next prime is 1222024170743. The reversal of 1222024170740 is 470714202221.

It is a junction number, because it is equal to n+sod(n) for n = 1222024170697 and 1222024170706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222024170743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4446530 + ... + 4713350.

It is an arithmetic number, because the mean of its divisors is an integer number (28240440480).

Almost surely, 21222024170740 is an apocalyptic number.

1222024170740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222024170740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355541143040).

1222024170740 is an abundant number, since it is smaller than the sum of its proper divisors (1489058115340).

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

1222024170740 is a wasteful number, since it uses less digits than its factorization.

1222024170740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267033 (or 267031 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

Adding to 1222024170740 its reverse (470714202221), we get a palindrome (1692738372961).

The spelling of 1222024170740 in words is "one trillion, two hundred twenty-two billion, twenty-four million, one hundred seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 62 83 89 124 155 166 178 310 332 356 415 445 620 830 890 1660 1780 2573 2759 5146 5518 7387 10292 11036 12865 13795 14774 25730 27590 29548 36935 51460 55180 73870 147740 228997 266821 457994 533642 915988 1067284 1144985 1334105 2289970 2668210 4579940 5336420 8271451 16542902 22146143 23747069 33085804 41357255 44292286 47494138 82714510 88584572 94988276 110730715 118735345 165429020 221461430 237470690 442922860 474941380 686530433 736159139 1373060866 1472318278 1971006727 2746121732 2944636556 3432652165 3680795695 3942013454 6865304330 7361591390 7884026908 9855033635 13730608660 14723182780 19710067270 39420134540 61101208537 122202417074 244404834148 305506042685 611012085370 1222024170740