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232023055440 = 243511195978401
BaseRepresentation
bin1101100000010110100…
…1101101110001010000
3211011220002022110012210
43120011221231301100
512300140400233230
6254331231152120
722522514300451
oct3300551556120
9734802273183
10232023055440
118a444a69780
1238b74075640
1318b588716a7
14b3310a7128
15607e9b6eb0
hex3605a6dc50

232023055440 has 320 divisors, whose sum is σ = 839967667200. Its totient is φ = 52383744000.

The previous prime is 232023055403. The next prime is 232023055487. The reversal of 232023055440 is 44550320232.

232023055440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232023055398 and 232023055407.

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 63 ways as a sum of consecutive naturals, for example, 2920240 + ... + 2998640.

It is an arithmetic number, because the mean of its divisors is an integer number (2624898960).

Almost surely, 2232023055440 is an apocalyptic number.

232023055440 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 232023055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419983833600).

232023055440 is an abundant number, since it is smaller than the sum of its proper divisors (607944611760).

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

232023055440 is a wasteful number, since it uses less digits than its factorization.

232023055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78506 (or 78500 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 232023055440 its reverse (44550320232), we get a palindrome (276573375672).

The spelling of 232023055440 in words is "two hundred thirty-two billion, twenty-three million, fifty-five thousand, four hundred forty".