Base | Representation |
---|---|
bin | 101010010000… |
… | …0111010000000 |
3 | 1112200120210010 |
4 | 1110200322000 |
5 | 21132424010 |
6 | 2110504520 |
7 | 356212326 |
oct | 124407200 |
9 | 45616703 |
10 | 22154880 |
11 | 11562320 |
12 | 7505140 |
13 | 47891c7 |
14 | 2d29d16 |
15 | 1e29620 |
hex | 1520e80 |
22154880 has 128 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 5365760.
The previous prime is 22154879. The next prime is 22154887. The reversal of 22154880 is 8845122.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22154887) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20596 + ... + 21644.
Almost surely, 222154880 is an apocalyptic number.
22154880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).
22154880 is an abundant number, since it is smaller than the sum of its proper divisors (54957120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22154880 is a wasteful number, since it uses less digits than its factorization.
22154880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).
The product of its (nonzero) digits is 5120, while the sum is 30.
The square root of 22154880 is about 4706.8970670708. The cubic root of 22154880 is about 280.8599412625.
The spelling of 22154880 in words is "twenty-two million, one hundred fifty-four thousand, eight hundred eighty".
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