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232248240 = 243257229227
BaseRepresentation
bin11011101011111…
…01001110110000
3121012000102200200
431311331032300
5433423420430
635013515200
75520035400
oct1565751660
9535012620
10232248240
1110a1095a4
1265942b00
13391686c3
1422bb8800
15155c9460
hexdd7d3b0

232248240 has 360 divisors, whose sum is σ = 942729840. Its totient is φ = 51028992.

The previous prime is 232248221. The next prime is 232248241. The reversal of 232248240 is 42842232.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (232248241) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1023007 + ... + 1023233.

It is an arithmetic number, because the mean of its divisors is an integer number (2618694).

Almost surely, 2232248240 is an apocalyptic number.

232248240 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 232248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471364920).

232248240 is an abundant number, since it is smaller than the sum of its proper divisors (710481600).

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

232248240 is a wasteful number, since it uses less digits than its factorization.

232248240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 232248240 is about 15239.6929102919. The cubic root of 232248240 is about 614.6824456173.

The spelling of 232248240 in words is "two hundred thirty-two million, two hundred forty-eight thousand, two hundred forty".