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232055440 = 24517210037
BaseRepresentation
bin11011101010011…
…10001010010000
3121011122122012221
431311032022100
5433401233230
635005430424
75515303321
oct1565161220
9534578187
10232055440
11109a97761
126586b414
13390cba16
1422b68448
151558c27a
hexdd4e290

232055440 has 60 divisors (see below), whose sum is σ = 573189876. Its totient is φ = 87353344.

The previous prime is 232055413. The next prime is 232055443. The reversal of 232055440 is 44550232.

It can be written as a sum of positive squares in 6 ways, for example, as 4528384 + 227527056 = 2128^2 + 15084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232055443) 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 11 ways as a sum of consecutive naturals, for example, 18102 + ... + 28138.

Almost surely, 2232055440 is an apocalyptic number.

232055440 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 232055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286594938).

232055440 is an abundant number, since it is smaller than the sum of its proper divisors (341134436).

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

232055440 is a wasteful number, since it uses less digits than its factorization.

232055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10084 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 232055440 is about 15233.3660101765. The cubic root of 232055440 is about 614.5123064242.

The spelling of 232055440 in words is "two hundred thirty-two million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 10037 11560 20074 23120 40148 50185 80296 100370 160592 170629 200740 341258 401480 682516 802960 853145 1365032 1706290 2730064 2900693 3412580 5801386 6825160 11602772 13650320 14503465 23205544 29006930 46411088 58013860 116027720 232055440