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232540146 = 2342116803
BaseRepresentation
bin11011101110001…
…00011111110010
3121012120021010000
431313010133302
5434012241041
635024050430
75522362416
oct1567043762
9535507100
10232540146
1110a298943
1265a63a16
133923b527
1422c52d46
1515635bb6
hexddc47f2

232540146 has 40 divisors (see below), whose sum is σ = 523608624. Its totient is φ = 77134680.

The previous prime is 232540141. The next prime is 232540159. The reversal of 232540146 is 641045232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (232540141) 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 19 ways as a sum of consecutive naturals, for example, 30781 + ... + 37583.

Almost surely, 2232540146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232540146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261804312).

232540146 is an abundant number, since it is smaller than the sum of its proper divisors (291068478).

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

232540146 is a wasteful number, since it uses less digits than its factorization.

232540146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 232540146 is about 15249.2670643543. The cubic root of 232540146 is about 614.9398632453.

Adding to 232540146 its reverse (641045232), we get a palindrome (873585378).

The spelling of 232540146 in words is "two hundred thirty-two million, five hundred forty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 211 422 633 1266 1899 3798 5697 6803 11394 13606 17091 20409 34182 40818 61227 122454 183681 367362 551043 1102086 1435433 2870866 4306299 8612598 12918897 25837794 38756691 77513382 116270073 232540146