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238225716 = 22325921901
BaseRepresentation
bin11100011001100…
…00100100110100
3121121021010020200
432030300210310
5441441210331
635350000500
75621612421
oct1614604464
9547233220
10238225716
11112521563
1267946130
133a47c381
14238d2d48
1515daa5e6
hexe330934

238225716 has 54 divisors (see below), whose sum is σ = 612883362. Its totient is φ = 78021600.

The previous prime is 238225699. The next prime is 238225717. The reversal of 238225716 is 617522832.

238225716 is a `hidden beast` number, since 2 + 3 + 82 + 2 + 571 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153512100 + 84713616 = 12390^2 + 9204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238225717) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 124366 + ... + 126266.

Almost surely, 2238225716 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 238225716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306441681).

238225716 is an abundant number, since it is smaller than the sum of its proper divisors (374657646).

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

238225716 is a wasteful number, since it uses less digits than its factorization.

238225716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 1965 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 238225716 is about 15434.5623844669. The cubic root of 238225716 is about 619.9112915054.

The spelling of 238225716 in words is "two hundred thirty-eight million, two hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1901 2124 3481 3802 5703 6962 7604 10443 11406 13924 17109 20886 22812 31329 34218 41772 62658 68436 112159 125316 224318 336477 448636 672954 1009431 1345908 2018862 4037724 6617381 13234762 19852143 26469524 39704286 59556429 79408572 119112858 238225716