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238228480 = 2105717223
BaseRepresentation
bin11100011001100…
…01010000000000
3121121021021001001
432030301100000
5441441302410
635350021344
75621623450
oct1614612000
9547237031
10238228480
11112523646
1267947854
133a4806c9
14238d3d60
1515dab33a
hexe331400

238228480 has 264 divisors, whose sum is σ = 723950208. Its totient is φ = 73531392.

The previous prime is 238228453. The next prime is 238228493. The reversal of 238228480 is 84822832.

It is a super-2 number, since 2×2382284802 = 113505617366220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10357749 + ... + 10357771.

Almost surely, 2238228480 is an apocalyptic number.

238228480 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 238228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361975104).

238228480 is an abundant number, since it is smaller than the sum of its proper divisors (485721728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238228480 is a wasteful number, since it uses less digits than its factorization.

238228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 238228480 is about 15434.6519235129. The cubic root of 238228480 is about 619.9136889910.

The spelling of 238228480 in words is "two hundred thirty-eight million, two hundred twenty-eight thousand, four hundred eighty".