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22420424032120 = 23519142720673131
BaseRepresentation
bin1010001100100001010010…
…11010001111111101111000
32221101101000220022001120201
411012100221122033331320
510414314012023011440
6115403444533131544
74502552002601062
oct506205132177570
987341026261521
1022420424032120
1171644a2959904
12262128a789bb4
13c6831066813a
14577223614732
1528d31783719a
hex14642968ff78

22420424032120 has 64 divisors (see below), whose sum is σ = 53138218492800. Its totient is φ = 8490206413440.

The previous prime is 22420424032093. The next prime is 22420424032129. The reversal of 22420424032120 is 2123042402422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420424032129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9252046 + ... + 11421085.

It is an arithmetic number, because the mean of its divisors is an integer number (830284663950).

Almost surely, 222420424032120 is an apocalyptic number.

22420424032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22420424032120 is an abundant number, since it is smaller than the sum of its proper divisors (30717794460680).

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

22420424032120 is a wasteful number, since it uses less digits than its factorization.

22420424032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20674588 (or 20674584 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22420424032120 its reverse (2123042402422), we get a palindrome (24543466434542).

The spelling of 22420424032120 in words is "twenty-two trillion, four hundred twenty billion, four hundred twenty-four million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1427 2854 5708 7135 11416 14270 27113 28540 54226 57080 108452 135565 216904 271130 542260 1084520 20673131 41346262 82692524 103365655 165385048 206731310 392789489 413462620 785578978 826925240 1571157956 1963947445 3142315912 3927894890 7855789780 15711579560 29500557937 59001115874 118002231748 147502789685 236004463496 295005579370 560510600803 590011158740 1121021201606 1180022317480 2242042403212 2802553004015 4484084806424 5605106008030 11210212016060 22420424032120