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238806252 = 223314872
BaseRepresentation
bin11100011101111…
…10010011101100
3121122100121121000
432032332103230
5442113300002
635410240300
75626551066
oct1616762354
9548317530
10238806252
11112888743
1267b86090
133a623699
1423a04736
1515e7261c
hexe3be4ec

238806252 has 36 divisors (see below), whose sum is σ = 619543960. Its totient is φ = 79548552.

The previous prime is 238806241. The next prime is 238806257. The reversal of 238806252 is 252608832.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

238806252 is a `hidden beast` number, since 23 + 8 + 8 + 0 + 625 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (238806257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159853 + ... + 161339.

Almost surely, 2238806252 is an apocalyptic number.

It is an amenable number.

238806252 is an abundant number, since it is smaller than the sum of its proper divisors (380737708).

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

238806252 is an equidigital number, since it uses as much as digits as its factorization.

238806252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 238806252 is about 15453.3573051295. The cubic root of 238806252 is about 620.4144402133.

The spelling of 238806252 in words is "two hundred thirty-eight million, eight hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1487 2974 4461 5948 8922 13383 17844 26766 40149 53532 80298 160596 2211169 4422338 6633507 8844676 13267014 19900521 26534028 39801042 59701563 79602084 119403126 238806252