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22532325424 = 2472436110957
BaseRepresentation
bin10100111111000010…
…000000000000110000
32011011022112201200021
4110333002000000300
5332121233403144
614203505533224
71425241414600
oct247702000060
964138481607
1022532325424
119612a01654
12444a044214
13218121464b
14113a74cc00
158bd22e884
hex53f080030

22532325424 has 120 divisors (see below), whose sum is σ = 52821680208. Its totient is φ = 9276664320.

The previous prime is 22532325421. The next prime is 22532325449. The reversal of 22532325424 is 42452323522.

It is a self number, because there is not a number n which added to its sum of digits gives 22532325424.

It is not an unprimeable number, because it can be changed into a prime (22532325421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050954 + ... + 2061910.

Almost surely, 222532325424 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 22532325424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26410840104).

22532325424 is an abundant number, since it is smaller than the sum of its proper divisors (30289354784).

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

22532325424 is a wasteful number, since it uses less digits than its factorization.

22532325424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11070 counting only the distinct ones).

The product of its digits is 115200, while the sum is 34.

Adding to 22532325424 its reverse (42452323522), we get a palindrome (64984648946).

The spelling of 22532325424 in words is "twenty-two billion, five hundred thirty-two million, three hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 61 86 98 112 122 172 196 244 301 344 392 427 488 602 688 784 854 976 1204 1708 2107 2408 2623 2989 3416 4214 4816 5246 5978 6832 8428 10492 10957 11956 16856 18361 20984 21914 23912 33712 36722 41968 43828 47824 73444 76699 87656 128527 146888 153398 175312 257054 293776 306796 471151 514108 536893 613592 668377 942302 1028216 1073786 1227184 1336754 1884604 2056432 2147572 2673508 3298057 3769208 4295144 4678639 5347016 6596114 7538416 8590288 9357278 10694032 13192228 18714556 23086399 26384456 28740211 32750473 37429112 46172798 52768912 57480422 65500946 74858224 92345596 114960844 131001892 184691192 201181477 229921688 262003784 369382384 402362954 459843376 524007568 804725908 1408270339 1609451816 2816540678 3218903632 5633081356 11266162712 22532325424