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230176408 = 237113710099
BaseRepresentation
bin11011011100000…
…11011010011000
3121001010011200011
431232003122120
5432411121113
634501251304
75463316150
oct1556033230
9531104604
10230176408
11108a23a40
1265103b34
13388c1677
14227d9760
151531a63d
hexdb83698

230176408 has 64 divisors (see below), whose sum is σ = 552672000. Its totient is φ = 87246720.

The previous prime is 230176369. The next prime is 230176409. The reversal of 230176408 is 804671032.

230176408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230176408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230176409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17743 + ... + 27841.

It is an arithmetic number, because the mean of its divisors is an integer number (8635500).

Almost surely, 2230176408 is an apocalyptic number.

230176408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230176408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276336000).

230176408 is an abundant number, since it is smaller than the sum of its proper divisors (322495592).

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

230176408 is a wasteful number, since it uses less digits than its factorization.

230176408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10160 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 230176408 is about 15171.5657728528. The cubic root of 230176408 is about 612.8491707824.

The spelling of 230176408 in words is "two hundred thirty million, one hundred seventy-six thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 10099 11396 20198 22792 40396 70693 80792 111089 141386 222178 282772 373663 444356 565544 747326 777623 888712 1494652 1555246 2615641 2989304 3110492 4110293 5231282 6220984 8220586 10462564 16441172 20925128 28772051 32882344 57544102 115088204 230176408