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42202020224 = 277132278701
BaseRepresentation
bin100111010011011011…
…111011100110000000
311000221010112202101002
4213103123323212000
51142412204121344
631215355431132
73022543152560
oct472333734600
9130833482332
1042202020224
1116996a38471
1282194554a8
133c97340600
142084c12da0
15116eea244e
hex9d36fb980

42202020224 has 96 divisors (see below), whose sum is σ = 104045030640. Its totient is φ = 16695244800.

The previous prime is 42202020101. The next prime is 42202020239.

It can be divided in two parts, 422020 and 20224, that added together give a palindrome (442244).

42202020224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×422020202243 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42202020196 and 42202020205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12074 + ... + 290774.

Almost surely, 242202020224 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 42202020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52022515320).

42202020224 is an abundant number, since it is smaller than the sum of its proper divisors (61843010416).

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

42202020224 is a wasteful number, since it uses less digits than its factorization.

42202020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278748 (or 278723 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The spelling of 42202020224 in words is "forty-two billion, two hundred two million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 1183 1352 1456 1664 2366 2704 2912 4732 5408 5824 9464 10816 11648 18928 21632 37856 75712 151424 278701 557402 1114804 1950907 2229608 3623113 3901814 4459216 7246226 7803628 8918432 14492452 15607256 17836864 25361791 28984904 31214512 35673728 47100469 50723582 57969808 62429024 94200938 101447164 115939616 124858048 188401876 202894328 231879232 249716096 329703283 376803752 405788656 463758464 659406566 753607504 811577312 1318813132 1507215008 1623154624 2637626264 3014430016 3246309248 5275252528 6028860032 10550505056 21101010112 42202020224