Base | Representation |
---|---|
bin | 10100111101001101… |
… | …000100110000000000 |
3 | 2011002011212110210202 |
4 | 110331031010300000 |
5 | 332040412031414 |
6 | 14200452544332 |
7 | 1424420034026 |
oct | 247515046000 |
9 | 64064773722 |
10 | 22501673984 |
11 | 95a7676789 |
12 | 443b9220a8 |
13 | 2177a71cba |
14 | 1136650716 |
15 | 8ba6c79de |
hex | 53d344c00 |
22501673984 has 44 divisors (see below), whose sum is σ = 45394272000. Its totient is φ = 11147563008.
The previous prime is 22501673983. The next prime is 22501673993. The reversal of 22501673984 is 48937610522.
It is not an unprimeable number, because it can be changed into a prime (22501673983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10817 + ... + 212415.
It is an arithmetic number, because the mean of its divisors is an integer number (1031688000).
It is a 1-persistent number, because it is pandigital, but 2⋅22501673984 = 45003347968 is not.
Almost surely, 222501673984 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 22501673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22697136000).
22501673984 is an abundant number, since it is smaller than the sum of its proper divisors (22892598016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22501673984 is a wasteful number, since it uses less digits than its factorization.
22501673984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201728 (or 201710 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 47.
The spelling of 22501673984 in words is "twenty-two billion, five hundred one million, six hundred seventy-three thousand, nine hundred eighty-four".
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