Search a number
-
+
238001136 = 24331307521
BaseRepresentation
bin11100010111110…
…01101111110000
3121120211201011220
432023321233300
5441412014021
635341105040
75616655602
oct1613715760
9546751156
10238001136
1111238885a
1267858180
133a401099
1423875172
1515d63cc6
hexe2f9bf0

238001136 has 80 divisors (see below), whose sum is σ = 637959168. Its totient is φ = 76377600.

The previous prime is 238001129. The next prime is 238001177. The reversal of 238001136 is 631100832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 456556 + ... + 457076.

Almost surely, 2238001136 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 238001136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318979584).

238001136 is an abundant number, since it is smaller than the sum of its proper divisors (399958032).

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

238001136 is a wasteful number, since it uses less digits than its factorization.

238001136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 238001136 is about 15427.2854384691. The cubic root of 238001136 is about 619.7164294624.

Adding to 238001136 its reverse (631100832), we get a palindrome (869101968).

The spelling of 238001136 in words is "two hundred thirty-eight million, one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 307 372 496 521 614 744 921 1042 1228 1488 1563 1842 2084 2456 3126 3684 4168 4912 6252 7368 8336 9517 12504 14736 16151 19034 25008 28551 32302 38068 48453 57102 64604 76136 96906 114204 129208 152272 159947 193812 228408 258416 319894 387624 456816 479841 639788 775248 959682 1279576 1919364 2559152 3838728 4958357 7677456 9916714 14875071 19833428 29750142 39666856 59500284 79333712 119000568 238001136