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232413460 = 225172932333
BaseRepresentation
bin11011101101001…
…01100100010100
3121012022211022221
431312211210110
5433444212320
635021232124
75521324156
oct1566454424
9535284287
10232413460
1110a211744
1265a02644
13391c5976
1422c1cad6
151560d3aa
hexdda5914

232413460 has 48 divisors (see below), whose sum is σ = 518764176. Its totient is φ = 87160832.

The previous prime is 232413457. The next prime is 232413463. The reversal of 232413460 is 64314232.

232413460 is digitally balanced in base 2, 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 (232413457) and next prime (232413463).

It can be written as a sum of positive squares in 8 ways, for example, as 16793604 + 215619856 = 4098^2 + 14684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232413463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98454 + ... + 100786.

It is an arithmetic number, because the mean of its divisors is an integer number (10807587).

Almost surely, 2232413460 is an apocalyptic number.

232413460 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 232413460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259382088).

232413460 is an abundant number, since it is smaller than the sum of its proper divisors (286350716).

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

232413460 is a wasteful number, since it uses less digits than its factorization.

232413460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 232413460 is about 15245.1126594722. The cubic root of 232413460 is about 614.8281715305.

Adding to 232413460 its reverse (64314232), we get a palindrome (296727692).

The spelling of 232413460 in words is "two hundred thirty-two million, four hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 293 340 586 1172 1465 2333 2930 4666 4981 5860 9332 9962 11665 19924 23330 24905 39661 46660 49810 79322 99620 158644 198305 396610 683569 793220 1367138 2734276 3417845 6835690 11620673 13671380 23241346 46482692 58103365 116206730 232413460