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238107000 = 23353139571
BaseRepresentation
bin11100011000100…
…11100101111000
3121121001002101210
432030103211320
5441423411000
635343243120
75620606335
oct1614234570
9547032353
10238107000
1111245034a
12678a94a0
133a43a321
14238a198c
1515d85350
hexe313978

238107000 has 128 divisors (see below), whose sum is σ = 749548800. Its totient is φ = 62928000.

The previous prime is 238106927. The next prime is 238107011. The reversal of 238107000 is 701832.

238107000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416715 + ... + 417285.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2238107000 is an apocalyptic number.

238107000 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 238107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374774400).

238107000 is an abundant number, since it is smaller than the sum of its proper divisors (511441800).

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

238107000 is a wasteful number, since it uses less digits than its factorization.

238107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 238107000 is about 15430.7161207768. The cubic root of 238107000 is about 619.8083000817.

Adding to 238107000 its reverse (701832), we get a palindrome (238808832).

The spelling of 238107000 in words is "two hundred thirty-eight million, one hundred seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 250 278 300 375 417 500 556 571 600 695 750 834 1000 1112 1142 1390 1500 1668 1713 2085 2284 2780 2855 3000 3336 3426 3475 4170 4568 5560 5710 6852 6950 8340 8565 10425 11420 13704 13900 14275 16680 17130 17375 20850 22840 27800 28550 34260 34750 41700 42825 52125 57100 68520 69500 71375 79369 83400 85650 104250 114200 139000 142750 158738 171300 208500 214125 238107 285500 317476 342600 396845 417000 428250 476214 571000 634952 793690 856500 952428 1190535 1587380 1713000 1904856 1984225 2381070 3174760 3968450 4762140 5952675 7936900 9524280 9921125 11905350 15873800 19842250 23810700 29763375 39684500 47621400 59526750 79369000 119053500 238107000