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238223360 = 2165727
BaseRepresentation
bin11100011001100…
…00000000000000
3121121021000000102
432030300000000
5441441121420
635345541532
75621602514
oct1614600000
9547230012
10238223360
1111251a811
12679448a8
133a47b28b
14238d2144
1515da9a75
hexe330000

238223360 has 68 divisors (see below), whose sum is σ = 572518128. Its totient is φ = 95158272.

The previous prime is 238223339. The next prime is 238223411. The reversal of 238223360 is 63322832.

It is a happy number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327317 + ... + 328043.

Almost surely, 2238223360 is an apocalyptic number.

238223360 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 238223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286259064).

238223360 is an abundant number, since it is smaller than the sum of its proper divisors (334294768).

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

238223360 is an frugal number, since it uses more digits than its factorization.

238223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 238223360 is about 15434.4860620624. The cubic root of 238223360 is about 619.9092479031.

The spelling of 238223360 in words is "two hundred thirty-eight million, two hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 727 1024 1280 1454 2048 2560 2908 3635 4096 5120 5816 7270 8192 10240 11632 14540 16384 20480 23264 29080 32768 40960 46528 58160 65536 81920 93056 116320 163840 186112 232640 327680 372224 465280 744448 930560 1488896 1861120 2977792 3722240 5955584 7444480 11911168 14888960 23822336 29777920 47644672 59555840 119111680 238223360