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385238190 = 235177110639
BaseRepresentation
bin10110111101100…
…100010010101110
3222211220010110010
4112331210102232
51242110110230
6102120554050
712355320261
oct2675442256
9884803403
10385238190
11188503177
12a9022926
1361a734bc
1439240cd8
1523c499b0
hex16f644ae

385238190 has 64 divisors (see below), whose sum is σ = 992839680. Its totient is φ = 95316480.

The previous prime is 385238171. The next prime is 385238197. The reversal of 385238190 is 91832583.

385238190 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3852381902 = 296816926068952200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385238197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30891 + ... + 41529.

It is an arithmetic number, because the mean of its divisors is an integer number (15513120).

Almost surely, 2385238190 is an apocalyptic number.

385238190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385238190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

385238190 is an abundant number, since it is smaller than the sum of its proper divisors (607601490).

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

385238190 is a wasteful number, since it uses less digits than its factorization.

385238190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10737.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 385238190 is about 19627.4855750807. The cubic root of 385238190 is about 727.6286283112.

The spelling of 385238190 in words is "three hundred eighty-five million, two hundred thirty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 1065 1207 2130 2414 3621 6035 7242 10639 12070 18105 21278 31917 36210 53195 63834 106390 159585 180863 319170 361726 542589 755369 904315 1085178 1510738 1808630 2266107 2712945 3776845 4532214 5425890 7553690 11330535 12841273 22661070 25682546 38523819 64206365 77047638 128412730 192619095 385238190