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232047000 = 233253192359
BaseRepresentation
bin11011101010011…
…00000110011000
3121011122012122100
431311030012120
5433401001000
635005323400
75515236603
oct1565140630
9534565570
10232047000
11109a91389
1265866560
13390c7c23
1422b6533a
1515589a00
hexdd4c198

232047000 has 384 divisors, whose sum is σ = 876096000. Its totient is φ = 55123200.

The previous prime is 232046993. The next prime is 232047007. The reversal of 232047000 is 740232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232046993) and next prime (232047007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232047007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3932971 + ... + 3933029.

It is an arithmetic number, because the mean of its divisors is an integer number (2281500).

Almost surely, 2232047000 is an apocalyptic number.

232047000 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 232047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438048000).

232047000 is an abundant number, since it is smaller than the sum of its proper divisors (644049000).

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

232047000 is a wasteful number, since it uses less digits than its factorization.

232047000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 232047000 is about 15233.0889841818. The cubic root of 232047000 is about 614.5048562696.

Adding to 232047000 its reverse (740232), we get a palindrome (232787232).

The spelling of 232047000 in words is "two hundred thirty-two million, forty-seven thousand".