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1420213222232 = 2371917345716883
BaseRepresentation
bin10100101010101011010…
…011011111101101011000
312000202211002201212122022
4110222223103133231120
5141232044041102412
63004234214114012
7204415131131060
oct24525323375530
95022732655568
101420213222232
114a8344380332
121ab2b664b908
13a3c055181bc
144ca4ad563a0
1526e22997a72
hex14aab4dfb58

1420213222232 has 128 divisors (see below), whose sum is σ = 3229247347200. Its totient is φ = 572006458368.

The previous prime is 1420213222201. The next prime is 1420213222237. The reversal of 1420213222232 is 2322223120241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420213222237) 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 31 ways as a sum of consecutive naturals, for example, 84112463 + ... + 84129345.

It is an arithmetic number, because the mean of its divisors is an integer number (25228494900).

Almost surely, 21420213222232 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 1420213222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614623673600).

1420213222232 is an abundant number, since it is smaller than the sum of its proper divisors (1809034124968).

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

1420213222232 is a wasteful number, since it uses less digits than its factorization.

1420213222232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17545 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1420213222232 its reverse (2322223120241), we get a palindrome (3742436342473).

The spelling of 1420213222232 in words is "one trillion, four hundred twenty billion, two hundred thirteen million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 173 266 346 457 532 692 914 1064 1211 1384 1828 2422 3199 3287 3656 4844 6398 6574 8683 9688 12796 13148 16883 17366 23009 25592 26296 33766 34732 46018 60781 67532 69464 79061 92036 118181 121562 135064 158122 184072 236362 243124 316244 320777 472724 486248 553427 632488 641554 945448 1106854 1283108 1502159 2213708 2245439 2566216 2920759 3004318 4427416 4490878 5841518 6008636 7715531 8981756 10515113 11683036 12017272 15431062 17963512 20445313 21030226 23366072 30862124 40890626 42060452 54008717 55494421 61724248 81781252 84120904 108017434 110988842 146595089 163562504 216034868 221977684 293190178 388460947 432069736 443955368 586380356 776921894 1026165623 1172760712 1334786863 1553843788 2052331246 2669573726 3107687576 4104662492 5339147452 8209324984 9343508041 10678294904 18687016082 25360950397 37374032164 50721900794 74748064328 101443801588 177526652779 202887603176 355053305558 710106611116 1420213222232