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32243434223 = 71121379101367
BaseRepresentation
bin11110000001110110…
…111100001011101111
310002020002201011120112
4132001312330023233
51012013304343343
622451252410235
72221010445260
oct360166741357
9102202634515
1032243434223
111274663a400
1262ba31697b
13306b0c3480
1417bc390967
15c8aa75218
hex781dbc2ef

32243434223 has 96 divisors (see below), whose sum is σ = 44730900480. Its totient is φ = 22610016000.

The previous prime is 32243434187. The next prime is 32243434247.

It is a happy number.

32243434223 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32243434223 - 212 = 32243430127 is a prime.

It is a super-2 number, since 2×322434342232 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32243434223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32243434123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87856586 + ... + 87856952.

It is an arithmetic number, because the mean of its divisors is an integer number (465946880).

Almost surely, 232243434223 is an apocalyptic number.

32243434223 is a deficient number, since it is larger than the sum of its proper divisors (12487466257).

32243434223 is a wasteful number, since it uses less digits than its factorization.

32243434223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its digits is 82944, while the sum is 32.

The spelling of 32243434223 in words is "thirty-two billion, two hundred forty-three million, four hundred thirty-four thousand, two hundred twenty-three".

Divisors: 1 7 11 13 77 79 91 101 121 143 367 553 707 847 869 1001 1027 1111 1313 1573 2569 4037 4771 6083 7189 7777 7979 9191 9559 11011 11297 12221 14443 28259 28993 33397 37067 44407 52481 55853 66913 79079 85547 87769 101101 103727 124267 158873 202951 259469 310849 318923 367367 376909 407737 481871 577291 614383 726089 869869 965459 1112111 1140997 2232461 2638363 2854159 2928293 3373097 3508153 4041037 4145999 4485107 5300581 6758213 7986979 12550967 20498051 24557071 29021993 31395749 32211223 37104067 38067809 45605989 58306391 87856769 225478561 266474663 319241923 354323453 408144737 418745899 2480264171 2931221293 4606204889 32243434223