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238662468 = 223211727829
BaseRepresentation
bin11100011100110…
…11001101000100
3121122002022100200
432032123031010
5442044144333
635403210500
75625411642
oct1616331504
9548068320
10238662468
1111279a710
1267b16a30
133a5a30c5
14239a8192
1515e44c13
hexe39b344

238662468 has 72 divisors (see below), whose sum is σ = 659830080. Its totient is φ = 72135360.

The previous prime is 238662461. The next prime is 238662497. The reversal of 238662468 is 864266832.

238662468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (238662461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287478 + ... + 288306.

Almost surely, 2238662468 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 238662468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329915040).

238662468 is an abundant number, since it is smaller than the sum of its proper divisors (421167612).

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

238662468 is a wasteful number, since it uses less digits than its factorization.

238662468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1572 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 238662468 is about 15448.7044116974. The cubic root of 238662468 is about 620.2898991142.

The spelling of 238662468 in words is "two hundred thirty-eight million, six hundred sixty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 727 829 1454 1658 2181 2487 2908 3316 4362 4974 6543 7461 7997 8724 9119 9948 13086 14922 15994 18238 23991 26172 27357 29844 31988 36476 47982 54714 71973 82071 95964 109428 143946 164142 287892 328284 602683 1205366 1808049 2410732 3616098 5424147 6629513 7232196 10848294 13259026 19888539 21696588 26518052 39777078 59665617 79554156 119331234 238662468