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235430664 = 233753137193
BaseRepresentation
bin11100000100001…
…10001100001000
3121102000010011020
432002012030020
5440232240124
635210032440
75556061530
oct1602061410
9542003136
10235430664
111109925a7
1266a18720
1339a110b1
14233a64c0
1515a07379
hexe086308

235430664 has 128 divisors (see below), whose sum is σ = 693930240. Its totient is φ = 65175552.

The previous prime is 235430639. The next prime is 235430669. The reversal of 235430664 is 466034532.

It is not an unprimeable number, because it can be changed into a prime (235430669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219752 + ... + 1219944.

It is an arithmetic number, because the mean of its divisors is an integer number (5421330).

Almost surely, 2235430664 is an apocalyptic number.

235430664 is a gapful number since it is divisible by the number (24) 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 235430664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346965120).

235430664 is an abundant number, since it is smaller than the sum of its proper divisors (458499576).

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

235430664 is a wasteful number, since it uses less digits than its factorization.

235430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 235430664 is about 15343.7499979633. The cubic root of 235430664 is about 617.4773180324.

The spelling of 235430664 in words is "two hundred thirty-five million, four hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 137 159 168 193 212 274 318 371 386 411 424 548 579 636 742 772 822 959 1096 1113 1158 1272 1351 1484 1544 1644 1918 2226 2316 2702 2877 2968 3288 3836 4053 4452 4632 5404 5754 7261 7672 8106 8904 10229 10808 11508 14522 16212 20458 21783 23016 26441 29044 30687 32424 40916 43566 50827 52882 58088 61374 71603 79323 81832 87132 101654 105764 122748 143206 152481 158646 174264 185087 203308 211528 214809 245496 286412 304962 317292 370174 406616 429618 555261 572824 609924 634584 740348 859236 1110522 1219848 1401373 1480696 1718472 2221044 2802746 4204119 4442088 5605492 8408238 9809611 11210984 16816476 19619222 29428833 33632952 39238444 58857666 78476888 117715332 235430664