Search a number
-
+
22012000001220 = 22355363110969909
BaseRepresentation
bin1010000000101000100010…
…11100001101110011000100
32212221022211010102120122110
411000110101130031303010
510341121034000014340
6114452101224501020
74431212610610155
oct500242134156304
985838733376573
1022012000001220
1170172671703a9
1225760a631a770
13c389519b0338
1456155a72992c
152828b15d4680
hex14051170dcc4

22012000001220 has 96 divisors (see below), whose sum is σ = 62896022864640. Its totient is φ = 5749986977280.

The previous prime is 22012000001129. The next prime is 22012000001269. The reversal of 22012000001220 is 2210000021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22012000001196 and 22012000001205.

It is an unprimeable number.

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, 3478375 + ... + 7491534.

It is an arithmetic number, because the mean of its divisors is an integer number (655166904840).

Almost surely, 222012000001220 is an apocalyptic number.

22012000001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012000001220 is an abundant number, since it is smaller than the sum of its proper divisors (40884022863420).

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

22012000001220 is a wasteful number, since it uses less digits than its factorization.

22012000001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10970605 (or 10970603 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22012000001220 its reverse (2210000021022), we get a palindrome (24222000022242).

The spelling of 22012000001220 in words is "twenty-two trillion, twelve billion, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 631 636 795 1060 1262 1590 1893 2524 3155 3180 3786 6310 7572 9465 12620 18930 33443 37860 66886 100329 133772 167215 200658 334430 401316 501645 668860 1003290 2006580 10969909 21939818 32909727 43879636 54849545 65819454 109699090 131638908 164548635 219398180 329097270 581405177 658194540 1162810354 1744215531 2325620708 2907025885 3488431062 5814051770 6922012579 6976862124 8721077655 11628103540 13844025158 17442155310 20766037737 27688050316 34610062895 34884310620 41532075474 69220125790 83064150948 103830188685 138440251580 207660377370 366866666687 415320754740 733733333374 1100600000061 1467466666748 1834333333435 2201200000122 3668666666870 4402400000244 5503000000305 7337333333740 11006000000610 22012000001220