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238862080 = 2851811031
BaseRepresentation
bin11100011110010…
…11111100000000
3121122110110011201
432033023330000
5442122041310
635411350544
75630202622
oct1617137400
9548413151
10238862080
11112916686
1267bb2454
133a642c12
1423a1ac12
1515e83e3a
hexe3cbf00

238862080 has 72 divisors (see below), whose sum is σ = 575868384. Its totient is φ = 94924800.

The previous prime is 238862021. The next prime is 238862093. The reversal of 238862080 is 80268832.

238862080 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 7 ways as a sum of consecutive naturals, for example, 231165 + ... + 232195.

It is an arithmetic number, because the mean of its divisors is an integer number (7998172).

Almost surely, 2238862080 is an apocalyptic number.

238862080 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 238862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287934192).

238862080 is an abundant number, since it is smaller than the sum of its proper divisors (337006304).

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

238862080 is a wasteful number, since it uses less digits than its factorization.

238862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 238862080 is about 15455.1635384424. The cubic root of 238862080 is about 620.4627831668.

The spelling of 238862080 in words is "two hundred thirty-eight million, eight hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 640 724 905 1031 1280 1448 1810 2062 2896 3620 4124 5155 5792 7240 8248 10310 11584 14480 16496 20620 23168 28960 32992 41240 46336 57920 65984 82480 115840 131968 164960 186611 231680 263936 329920 373222 659840 746444 933055 1319680 1492888 1866110 2985776 3732220 5971552 7464440 11943104 14928880 23886208 29857760 47772416 59715520 119431040 238862080