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238121072 = 24719149751
BaseRepresentation
bin11100011000101…
…11000001110000
3121121001210200222
432030113001300
5441424333242
635343432212
75620665350
oct1614270160
9547053628
10238121072
1111245a982
12678b5668
133a443857
14238a6b60
1515d895d2
hexe317070

238121072 has 80 divisors (see below), whose sum is σ = 559488000. Its totient is φ = 95904000.

The previous prime is 238121041. The next prime is 238121087. The reversal of 238121072 is 270121832.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 316697 + ... + 317447.

It is an arithmetic number, because the mean of its divisors is an integer number (6993600).

Almost surely, 2238121072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238121072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279744000).

238121072 is an abundant number, since it is smaller than the sum of its proper divisors (321366928).

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

238121072 is a wasteful number, since it uses less digits than its factorization.

238121072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 238121072 is about 15431.1720876931. The cubic root of 238121072 is about 619.8205099573.

The spelling of 238121072 in words is "two hundred thirty-eight million, one hundred twenty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 149 152 266 298 304 532 596 751 1043 1064 1192 1502 2086 2128 2384 2831 3004 4172 5257 5662 6008 8344 10514 11324 12016 14269 16688 19817 21028 22648 28538 39634 42056 45296 57076 79268 84112 99883 111899 114152 158536 199766 223798 228304 317072 399532 447596 783293 799064 895192 1566586 1598128 1790384 2126081 3133172 4252162 6266344 8504324 12532688 14882567 17008648 29765134 34017296 59530268 119060536 238121072