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238028880 = 24351039629
BaseRepresentation
bin11100011000000…
…00100001010000
3121120220010020110
432030000201100
5441413411010
635341441320
75620132515
oct1614004120
9546803213
10238028880
111123a7691
1267870240
133a4108bb
142388130c
1515d6c120
hexe300850

238028880 has 80 divisors (see below), whose sum is σ = 745130880. Its totient is φ = 62851584.

The previous prime is 238028803. The next prime is 238028887. The reversal of 238028880 is 88820832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238028887) 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, 19906 + ... + 29534.

It is an arithmetic number, because the mean of its divisors is an integer number (9314136).

Almost surely, 2238028880 is an apocalyptic number.

238028880 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 238028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372565440).

238028880 is an abundant number, since it is smaller than the sum of its proper divisors (507102000).

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

238028880 is a wasteful number, since it uses less digits than its factorization.

238028880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 238028880 is about 15428.1845983252. The cubic root of 238028880 is about 619.7405088216.

The spelling of 238028880 in words is "two hundred thirty-eight million, twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 9629 12360 19258 24720 28887 38516 48145 57774 77032 96290 115548 144435 154064 192580 231096 288870 385160 462192 577740 770320 991787 1155480 1983574 2310960 2975361 3967148 4958935 5950722 7934296 9917870 11901444 14876805 15868592 19835740 23802888 29753610 39671480 47605776 59507220 79342960 119014440 238028880