| Base | Representation |
|---|---|
| bin | 101010100010… |
| … | …1000000000000 |
| 3 | 1112222002120200 |
| 4 | 1111011000000 |
| 5 | 21202141340 |
| 6 | 2114005200 |
| 7 | 360366336 |
| oct | 125050000 |
| 9 | 45862520 |
| 10 | 22302720 |
| 11 | 11653400 |
| 12 | 7576800 |
| 13 | 480b59b |
| 14 | 2d67b56 |
| 15 | 1e58330 |
| hex | 1545000 |
22302720 has 234 divisors, whose sum is σ = 84973434. Its totient is φ = 5406720.
The previous prime is 22302701. The next prime is 22302739. The reversal of 22302720 is 2720322.
It is an interprime number because it is at equal distance from previous prime (22302701) and next prime (22302739).
It can be written as a sum of positive squares in only one way, i.e., 17842176 + 4460544 = 4224^2 + 2112^2 .
It is a super-2 number, since 2×223027202 = 994822638796800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22302693 and 22302702.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2027515 + ... + 2027525.
Almost surely, 222302720 is an apocalyptic number.
22302720 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 22302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42486717).
22302720 is an abundant number, since it is smaller than the sum of its proper divisors (62670714).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22302720 is a wasteful number, since it uses less digits than its factorization.
22302720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 57 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 22302720 is about 4722.5755684796. The cubic root of 22302720 is about 281.4832849650.
It can be divided in two parts, 2230 and 2720, that added together give a triangular number (4950 = T99).
The spelling of 22302720 in words is "twenty-two million, three hundred two thousand, seven hundred twenty".
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