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234985520 = 245711371031
BaseRepresentation
bin11100000000110…
…01100000110000
3121101011111112102
432000121200300
5440124014040
635152315532
75552225660
oct1600314060
9541144472
10234985520
11110709110
1266842ba8
13398b65b3
14232cc1a0
151596a515
hexe019830

234985520 has 160 divisors (see below), whose sum is σ = 700240896. Its totient is φ = 71193600.

The previous prime is 234985459. The next prime is 234985529. The reversal of 234985520 is 25589432.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (234985529) 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, 227405 + ... + 228435.

Almost surely, 2234985520 is an apocalyptic number.

234985520 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 234985520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350120448).

234985520 is an abundant number, since it is smaller than the sum of its proper divisors (465255376).

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

234985520 is a wasteful number, since it uses less digits than its factorization.

234985520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 234985520 is about 15329.2374239556. The cubic root of 234985520 is about 617.0879043842.

The spelling of 234985520 in words is "two hundred thirty-four million, nine hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 55 56 70 74 77 80 88 110 112 140 148 154 176 185 220 259 280 296 308 370 385 407 440 518 560 592 616 740 770 814 880 1031 1036 1232 1295 1480 1540 1628 2035 2062 2072 2590 2849 2960 3080 3256 4070 4124 4144 5155 5180 5698 6160 6512 7217 8140 8248 10310 10360 11341 11396 14245 14434 16280 16496 20620 20720 22682 22792 28490 28868 32560 36085 38147 41240 45364 45584 56705 56980 57736 72170 76294 79387 82480 90728 113410 113960 115472 144340 152588 158774 181456 190735 226820 227920 267029 288680 305176 317548 381470 396935 419617 453640 534058 577360 610352 635096 762940 793870 839234 907280 1068116 1270192 1335145 1525880 1587740 1678468 2098085 2136232 2670290 2937319 3051760 3175480 3356936 4196170 4272464 5340580 5874638 6350960 6713872 8392340 10681160 11749276 14686595 16784680 21362320 23498552 29373190 33569360 46997104 58746380 117492760 234985520