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238830720 = 2735532347
BaseRepresentation
bin11100011110001…
…00010010000000
3121122101212011020
432033010102000
5442120040340
635410545440
75630012322
oct1617042200
9548355136
10238830720
111128a5067
1267b98280
133a63186b
1423a0d612
1515e799d0
hexe3c4480

238830720 has 128 divisors (see below), whose sum is σ = 775967040. Its totient is φ = 62459904.

The previous prime is 238830701. The next prime is 238830743. The reversal of 238830720 is 27038832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2388307202 = 114080225631436800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100587 + ... + 102933.

Almost surely, 2238830720 is an apocalyptic number.

238830720 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 238830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387983520).

238830720 is an abundant number, since it is smaller than the sum of its proper divisors (537136320).

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

238830720 is a wasteful number, since it uses less digits than its factorization.

238830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 238830720 is about 15454.1489574806. The cubic root of 238830720 is about 620.4356286341.

The spelling of 238830720 in words is "two hundred thirty-eight million, eight hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 265 318 320 384 424 480 530 636 640 795 848 960 1060 1272 1590 1696 1920 2120 2347 2544 3180 3392 4240 4694 5088 6360 6784 7041 8480 9388 10176 11735 12720 14082 16960 18776 20352 23470 25440 28164 33920 35205 37552 46940 50880 56328 70410 75104 93880 101760 112656 124391 140820 150208 187760 225312 248782 281640 300416 373173 375520 450624 497564 563280 621955 746346 751040 901248 995128 1126560 1243910 1492692 1502080 1865865 1990256 2253120 2487820 2985384 3731730 3980512 4506240 4975640 5970768 7463460 7961024 9951280 11941536 14926920 15922048 19902560 23883072 29853840 39805120 47766144 59707680 79610240 119415360 238830720