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234265512 = 233133153457
BaseRepresentation
bin11011111011010…
…01101110101000
3121022210220212110
431331221232220
5434432444022
635125042320
75543136555
oct1575515650
9538726773
10234265512
11110267168
12665563a0
13396c3960
1423181a2c
151587700c
hexdf69ba8

234265512 has 128 divisors (see below), whose sum is σ = 664796160. Its totient is φ = 68290560.

The previous prime is 234265501. The next prime is 234265553. The reversal of 234265512 is 215562432.

It is a super-2 number, since 2×2342655122 = 109760660225244288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234265512.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 512388 + ... + 512844.

It is an arithmetic number, because the mean of its divisors is an integer number (5193720).

Almost surely, 2234265512 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 234265512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332398080).

234265512 is an abundant number, since it is smaller than the sum of its proper divisors (430530648).

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

234265512 is a wasteful number, since it uses less digits than its factorization.

234265512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 234265512 is about 15305.7346115761. The cubic root of 234265512 is about 616.4569962946.

The spelling of 234265512 in words is "two hundred thirty-four million, two hundred sixty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 53 62 78 93 104 106 124 156 159 186 212 248 312 318 372 403 424 457 636 689 744 806 914 1209 1272 1371 1378 1612 1643 1828 2067 2418 2742 2756 3224 3286 3656 4134 4836 4929 5484 5512 5941 6572 8268 9672 9858 10968 11882 13144 14167 16536 17823 19716 21359 23764 24221 28334 35646 39432 42501 42718 47528 48442 56668 64077 71292 72663 85002 85436 96884 113336 128154 142584 145326 170004 170872 184171 193768 256308 290652 314873 340008 368342 512616 552513 581304 629746 736684 750851 944619 1105026 1259492 1473368 1501702 1889238 2210052 2252553 2518984 3003404 3778476 4420104 4505106 6006808 7556952 9010212 9761063 18020424 19522126 29283189 39044252 58566378 78088504 117132756 234265512