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235214320 = 245113472
BaseRepresentation
bin11100000010100…
…01010111110000
3121101121010101111
432001101113300
5440203324240
635201243104
75554201015
oct1601212760
9541533344
10235214320
11110855000
1266933494
1339966793
142334b70c
15159b31ea
hexe0515f0

235214320 has 120 divisors (see below), whose sum is σ = 614590128. Its totient is φ = 83712640.

The previous prime is 235214303. The next prime is 235214347. The reversal of 235214320 is 23412532.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 235214291 and 235214300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004537 + ... + 5004583.

Almost surely, 2235214320 is an apocalyptic number.

235214320 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 235214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307295064).

235214320 is an abundant number, since it is smaller than the sum of its proper divisors (379375808).

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

235214320 is an equidigital number, since it uses as much as digits as its factorization.

235214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235214320 is about 15336.6984713138. The cubic root of 235214320 is about 617.2881208527.

Adding to 235214320 its reverse (23412532), we get a palindrome (258626852).

The spelling of 235214320 in words is "two hundred thirty-five million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 121 176 188 220 235 242 376 440 470 484 517 605 752 880 940 968 1034 1210 1331 1880 1936 2068 2209 2420 2585 2662 3760 4136 4418 4840 5170 5324 5687 6655 8272 8836 9680 10340 10648 11045 11374 13310 17672 20680 21296 22090 22748 24299 26620 28435 35344 41360 44180 45496 48598 53240 56870 62557 88360 90992 97196 106480 113740 121495 125114 176720 194392 227480 242990 250228 267289 312785 388784 454960 485980 500456 534578 625570 971960 1000912 1069156 1251140 1336445 1943920 2138312 2502280 2672890 2940179 4276624 5004560 5345780 5880358 10691560 11760716 14700895 21383120 23521432 29401790 47042864 58803580 117607160 235214320