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232698096 = 2434409439
BaseRepresentation
bin11011101111010…
…11000011110000
3121012212021210000
431313223003300
5434032314341
635031310000
75523621051
oct1567530360
9535767700
10232698096
1110a396584
1265b1b300
13392953a7
1422c94728
15156678b6
hexddeb0f0

232698096 has 100 divisors (see below), whose sum is σ = 676680400. Its totient is φ = 77200128.

The previous prime is 232698077. The next prime is 232698127. The reversal of 232698096 is 690896232.

232698096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 529845 + ... + 530283.

It is an arithmetic number, because the mean of its divisors is an integer number (6766804).

Almost surely, 2232698096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232698096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338340200).

232698096 is an abundant number, since it is smaller than the sum of its proper divisors (443982304).

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

232698096 is a wasteful number, since it uses less digits than its factorization.

232698096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 232698096 is about 15254.4451226520. The cubic root of 232698096 is about 615.0790618167.

The spelling of 232698096 in words is "two hundred thirty-two million, six hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 409 432 439 648 818 878 1227 1296 1317 1636 1756 2454 2634 3272 3512 3681 3951 4908 5268 6544 7024 7362 7902 9816 10536 11043 11853 14724 15804 19632 21072 22086 23706 29448 31608 33129 35559 44172 47412 58896 63216 66258 71118 88344 94824 132516 142236 176688 179551 189648 265032 284472 359102 530064 538653 568944 718204 1077306 1436408 1615959 2154612 2872816 3231918 4309224 4847877 6463836 8618448 9695754 12927672 14543631 19391508 25855344 29087262 38783016 58174524 77566032 116349048 232698096