Search a number
-
+
238194480 = 24351779739
BaseRepresentation
bin11100011001010…
…00111100110000
3121121012112101210
432030220330300
5441434210410
635345200120
75621422356
oct1614507460
9547175353
10238194480
11112500047
1267930040
133a46b0a4
14238c57d6
1515da1220
hexe328f30

238194480 has 160 divisors (see below), whose sum is σ = 792806400. Its totient is φ = 58945536.

The previous prime is 238194457. The next prime is 238194491. The reversal of 238194480 is 84491832.

It is a super-2 number, since 2×2381944802 = 113473220604940800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321951 + ... + 322689.

It is an arithmetic number, because the mean of its divisors is an integer number (4955040).

Almost surely, 2238194480 is an apocalyptic number.

238194480 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 238194480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396403200).

238194480 is an abundant number, since it is smaller than the sum of its proper divisors (554611920).

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

238194480 is a wasteful number, since it uses less digits than its factorization.

238194480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 238194480 is about 15433.5504664351. The cubic root of 238194480 is about 619.8841962001.

The spelling of 238194480 in words is "two hundred thirty-eight million, one hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 79 80 85 102 120 136 158 170 204 237 240 255 272 316 340 395 408 474 510 632 680 739 790 816 948 1020 1185 1264 1343 1360 1478 1580 1896 2040 2217 2370 2686 2956 3160 3695 3792 4029 4080 4434 4740 5372 5912 6320 6715 7390 8058 8868 9480 10744 11085 11824 12563 13430 14780 16116 17736 18960 20145 21488 22170 25126 26860 29560 32232 35472 37689 40290 44340 50252 53720 58381 59120 62815 64464 75378 80580 88680 100504 107440 116762 125630 150756 161160 175143 177360 188445 201008 233524 251260 291905 301512 322320 350286 376890 467048 502520 583810 603024 700572 753780 875715 934096 992477 1005040 1167620 1401144 1507560 1751430 1984954 2335240 2802288 2977431 3015120 3502860 3969908 4670480 4962385 5954862 7005720 7939816 9924770 11909724 14011440 14887155 15879632 19849540 23819448 29774310 39699080 47638896 59548620 79398160 119097240 238194480