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22424121014432 = 258331795327947
BaseRepresentation
bin1010001100101000001011…
…10001000111100010100000
32221101201120112211012220112
411012110011301013202200
510414344044434430212
6115405255440230452
74503042423456134
oct506240561074240
987351515735815
1022424121014432
11716601a798395
122621b4090b428
13c6877c573337
1457749460b3c4
1528d4821a4422
hex146505c478a0

22424121014432 has 96 divisors (see below), whose sum is σ = 44868966351552. Its totient is φ = 11030051006464.

The previous prime is 22424121014401. The next prime is 22424121014437. The reversal of 22424121014432 is 23441012142422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (22424121014437) 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, 802366283 + ... + 802394229.

It is an arithmetic number, because the mean of its divisors is an integer number (467385066162).

Almost surely, 222424121014432 is an apocalyptic number.

It is an amenable number.

22424121014432 is an abundant number, since it is smaller than the sum of its proper divisors (22444845337120).

22424121014432 is a wasteful number, since it uses less digits than its factorization.

22424121014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29310 (or 29302 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 22424121014432 its reverse (23441012142422), we get a palindrome (45865133156854).

The spelling of 22424121014432 in words is "twenty-two trillion, four hundred twenty-four billion, one hundred twenty-one million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 83 166 317 332 634 664 953 1268 1328 1906 2536 2656 3812 5072 7624 10144 15248 26311 27947 30496 52622 55894 79099 105244 111788 158198 210488 223576 302101 316396 420976 447152 604202 632792 841952 894304 1208404 1265584 2319601 2416808 2531168 4639202 4833616 8859199 9278404 9667232 17718398 18556808 25074383 26633491 35436796 37113616 50148766 53266982 70873592 74227232 100297532 106533964 141747184 200595064 213067928 283494368 401190128 426135856 735313517 802380256 852271712 1470627034 2210579753 2941254068 4421159506 5882508136 8442816647 8842319012 11765016272 16885633294 17684638024 23530032544 33771266588 35369276048 67542533176 70738552096 135085066352 270170132704 700753781701 1401507563402 2803015126804 5606030253608 11212060507216 22424121014432