Base | Representation |
---|---|
bin | 101010011100… |
… | …1011101010000 |
3 | 1112212200201120 |
4 | 1110321131100 |
5 | 21144133230 |
6 | 2113002240 |
7 | 360111444 |
oct | 124713520 |
9 | 45780646 |
10 | 22255440 |
11 | 11620929 |
12 | 7553380 |
13 | 47c2bcc |
14 | 2d54824 |
15 | 1e49310 |
hex | 1539750 |
22255440 has 80 divisors (see below), whose sum is σ = 70495488. Its totient is φ = 5805568.
The previous prime is 22255439. The next prime is 22255469. The reversal of 22255440 is 4455222.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 22255440.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10294 + ... + 12266.
Almost surely, 222255440 is an apocalyptic number.
22255440 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 22255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35247744).
22255440 is an abundant number, since it is smaller than the sum of its proper divisors (48240048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22255440 is a wasteful number, since it uses less digits than its factorization.
22255440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 24.
The square root of 22255440 is about 4717.5671696331. The cubic root of 22255440 is about 281.2842368198.
The spelling of 22255440 in words is "twenty-two million, two hundred fifty-five thousand, four hundred forty".
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