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422410101014224 = 24198299677173207
BaseRepresentation
bin110000000001011100000010…
…0000001010011111011010000
32001101122000022012222112100101
41200002320010001103323100
5420331231341324423344
64054220304350102144
7154655060040403351
oct14002700401237320
92041560265875311
10422410101014224
111126581328a5354
123b461aa81aa954
13151911422cb97b
147644a87c53d28
1533c7cc954d9d4
hex1802e04053ed0

422410101014224 has 80 divisors (see below), whose sum is σ = 862627594550400. Its totient is φ = 199825827835392.

The previous prime is 422410101014221. The next prime is 422410101014257.

422410101014224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422410101014192 and 422410101014201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422410101014221) 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 15 ways as a sum of consecutive naturals, for example, 2438672229 + ... + 2438845435.

It is an arithmetic number, because the mean of its divisors is an integer number (10782844931880).

Almost surely, 2422410101014224 is an apocalyptic number.

It is an amenable number.

422410101014224 is an abundant number, since it is smaller than the sum of its proper divisors (440217493536176).

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

422410101014224 is a wasteful number, since it uses less digits than its factorization.

422410101014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183740 (or 183734 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 42241010 and 1014224, that added together give a palindrome (43255234).

The spelling of 422410101014224 in words is "four hundred twenty-two trillion, four hundred ten billion, one hundred one million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 829 1658 3316 6632 9677 13264 15751 19354 31502 38708 63004 77416 126008 154832 173207 183863 252016 346414 367726 692828 735452 1385656 1470904 2771312 2941808 3290933 6581866 8022233 13163732 16044466 26327464 32088932 52654928 64177864 128355728 143588603 152422427 287177206 304844854 574354412 609689708 1148708824 1219379416 1676124139 2297417648 2438758832 2728183457 3352248278 5456366914 6704496556 10912733828 13408993112 21825467656 26817986224 31846358641 43650935312 63692717282 127385434564 254770869128 509541738256 1389506911231 2779013822462 5558027644924 11116055289848 22232110579696 26400631313389 52801262626778 105602525253556 211205050507112 422410101014224