Search a number
-
+
232105640 = 235131992243
BaseRepresentation
bin11011101010110…
…10011010101000
3121011202012002012
431311122122220
5433404340030
635010455052
75515602554
oct1565323250
9534665065
10232105640
1110a021448
1265894488
1339118820
1422b7c864
151559c095
hexdd5a6a8

232105640 has 64 divisors (see below), whose sum is σ = 565488000. Its totient is φ = 85231872.

The previous prime is 232105613. The next prime is 232105667. The reversal of 232105640 is 46501232.

232105640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232105613) and next prime (232105667).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102359 + ... + 104601.

It is an arithmetic number, because the mean of its divisors is an integer number (8835750).

Almost surely, 2232105640 is an apocalyptic number.

232105640 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 232105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).

232105640 is an abundant number, since it is smaller than the sum of its proper divisors (333382360).

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

232105640 is a wasteful number, since it uses less digits than its factorization.

232105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 232105640 is about 15235.0136199480. The cubic root of 232105640 is about 614.5566152233.

Adding to 232105640 its reverse (46501232), we get a palindrome (278606872).

The spelling of 232105640 in words is "two hundred thirty-two million, one hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 520 796 995 1592 1990 2243 2587 3980 4486 5174 7960 8972 10348 11215 12935 17944 20696 22430 25870 29159 44860 51740 58318 89720 103480 116636 145795 233272 291590 446357 583180 892714 1166360 1785428 2231785 3570856 4463570 5802641 8927140 11605282 17854280 23210564 29013205 46421128 58026410 116052820 232105640