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230422080 = 26357172017
BaseRepresentation
bin11011011101111…
…11011001000000
3121001120122200010
431232333121000
5432442001310
634510424520
75465361330
oct1556773100
9531518603
10230422080
11109081579
1265202140
1338979435
14228610c0
1515368320
hexdbbf640

230422080 has 224 divisors, whose sum is σ = 885724416. Its totient is φ = 49545216.

The previous prime is 230422043. The next prime is 230422099. The reversal of 230422080 is 80224032.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113232 + ... + 115248.

Almost surely, 2230422080 is an apocalyptic number.

230422080 is a gapful number since it is divisible by the number (20) 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 230422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442862208).

230422080 is an abundant number, since it is smaller than the sum of its proper divisors (655302336).

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

230422080 is a wasteful number, since it uses less digits than its factorization.

230422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 230422080 is about 15179.6600752454. The cubic root of 230422080 is about 613.0671287526.

The spelling of 230422080 in words is "two hundred thirty million, four hundred twenty-two thousand, eighty".