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22420032024334 = 27223411931257017
BaseRepresentation
bin1010001100100000100100…
…00010110110111100001110
32221101100000120122222222211
411012100102002312330032
510414312211144234314
6115403342011101034
74502536202564200
oct506202202667416
987340016588884
1022420032024334
11716431165262a
12262119b44177a
13c6827a394579
145771c7530770
1528d2e32019c4
hex1464120b6f0e

22420032024334 has 96 divisors (see below), whose sum is σ = 42033917653056. Its totient is φ = 8920187781120.

The previous prime is 22420032024331. The next prime is 22420032024347. The reversal of 22420032024334 is 43342023002422.

It is a junction number, because it is equal to n+sod(n) for n = 22420032024296 and 22420032024305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420032024331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17207394 + ... + 18464410.

It is an arithmetic number, because the mean of its divisors is an integer number (437853308886).

Almost surely, 222420032024334 is an apocalyptic number.

22420032024334 is a deficient number, since it is larger than the sum of its proper divisors (19613885628722).

22420032024334 is a wasteful number, since it uses less digits than its factorization.

22420032024334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257290 (or 1257283 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 22420032024334 its reverse (43342023002422), we get a palindrome (65762055026756).

The spelling of 22420032024334 in words is "twenty-two trillion, four hundred twenty billion, thirty-two million, twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 7 14 23 41 46 49 82 98 161 193 287 322 386 574 943 1127 1351 1886 2009 2254 2702 4018 4439 6601 7913 8878 9457 13202 15826 18914 31073 46207 55391 62146 92414 110782 181999 217511 363998 387737 435022 775474 1257017 1273993 2514034 2547986 8799119 8917951 17598238 17835902 28911391 51537697 57822782 61593833 103075394 123187666 202379737 242604281 360763879 404759474 485208562 721527758 1185367031 1416658159 1698229967 2370734062 2525347153 2833316318 3396459934 5050694306 5579898463 8297569217 9946775521 11159796926 11887609769 16595138434 19893551042 23775219538 39059289241 58082984519 69627428647 78118578482 116165969038 139254857294 228775836983 273415024687 457551673966 487392000529 546830049374 974784001058 1601430858881 3202861717762 11210016012167 22420032024334