| Base | Representation |
|---|---|
| bin | 11100011111010… |
| … | …00110110000000 |
| 3 | 121122200110120220 |
| 4 | 32033220312000 |
| 5 | 442134333410 |
| 6 | 35414103040 |
| 7 | 5631205044 |
| oct | 1617506600 |
| 9 | 548613526 |
| 10 | 238980480 |
| 11 | 112997632 |
| 12 | 6804aa80 |
| 13 | 3a684a8b |
| 14 | 23a4c024 |
| 15 | 15ea9070 |
| hex | e3e8d80 |
238980480 has 128 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 60364800.
The previous prime is 238980479. The next prime is 238980481. The reversal of 238980480 is 84089832.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (238980479) and next prime (238980481).
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×2389804802 = 114223339642060800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (238980481) 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 15 ways as a sum of consecutive naturals, for example, 33205 + ... + 39755.
It is an arithmetic number, because the mean of its divisors is an integer number (6265350).
Almost surely, 2238980480 is an apocalyptic number.
238980480 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 238980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).
238980480 is an abundant number, since it is smaller than the sum of its proper divisors (562984320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238980480 is a wasteful number, since it uses less digits than its factorization.
238980480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6592 (or 6580 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 42.
The square root of 238980480 is about 15458.9934989313. The cubic root of 238980480 is about 620.5652839611.
The spelling of 238980480 in words is "two hundred thirty-eight million, nine hundred eighty thousand, four hundred eighty".
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