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20322332224 = 263111390647
BaseRepresentation
bin10010111011010011…
…100010111001000000
31221110022001102221021
4102323103202321000
5313110004112344
613200322035224
71316414654665
oct227323427100
957408042837
1020322332224
118689476a97
123b31aa8b14
131bbb3c456c
14dab02da6c
157de1dbb84
hex4bb4e2e40

20322332224 has 56 divisors (see below), whose sum is σ = 41996855808. Its totient is φ = 9746257920.

The previous prime is 20322332221. The next prime is 20322332257. The reversal of 20322332224 is 42223322302.

It is not an unprimeable number, because it can be changed into a prime (20322332221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178869 + ... + 269515.

Almost surely, 220322332224 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 20322332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998427904).

20322332224 is an abundant number, since it is smaller than the sum of its proper divisors (21674523584).

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

20322332224 is a wasteful number, since it uses less digits than its factorization.

20322332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90803 (or 90793 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 20322332224 its reverse (42223322302), we get a palindrome (62545654526).

The spelling of 20322332224 in words is "twenty billion, three hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 113 124 226 248 452 496 904 992 1808 1984 3503 3616 7006 7232 14012 28024 56048 90647 112096 181294 224192 362588 725176 1450352 2810057 2900704 5620114 5801408 10243111 11240228 20486222 22480456 40972444 44960912 81944888 89921824 163889776 179843648 317536441 327779552 635072882 655559104 1270145764 2540291528 5080583056 10161166112 20322332224