Search a number
-
+
22505223832 = 23713171818457
BaseRepresentation
bin10100111101011010…
…100111011010011000
32011002102112211021121
4110331122213122120
5332042314130312
614201101015024
71424462150320
oct247532473230
964072484247
1022505223832
1195a9680843
124440b54474
1321787159c0
141136cd6280
158bab79707
hex53d6a7698

22505223832 has 64 divisors (see below), whose sum is σ = 54990169920. Its totient is φ = 8379445248.

The previous prime is 22505223817. The next prime is 22505223833. The reversal of 22505223832 is 23832250522.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22505223833) 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 15 ways as a sum of consecutive naturals, for example, 896853 + ... + 921604.

It is an arithmetic number, because the mean of its divisors is an integer number (859221405).

Almost surely, 222505223832 is an apocalyptic number.

It is an amenable number.

22505223832 is an abundant number, since it is smaller than the sum of its proper divisors (32484946088).

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

22505223832 is a wasteful number, since it uses less digits than its factorization.

22505223832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818500 (or 1818496 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 22505223832 in words is "twenty-two billion, five hundred five million, two hundred twenty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 12376 1818457 3636914 7273828 12729199 14547656 23639941 25458398 30913769 47279882 50916796 61827538 94559764 101833592 123655076 165479587 189119528 216396383 247310152 330959174 401878997 432792766 661918348 803757994 865585532 1323836696 1607515988 1731171064 2813152979 3215031976 5626305958 11252611916 22505223832