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14233780 = 22511232997
BaseRepresentation
bin110110010011…
…000010110100
3222210011002001
4312103002310
512120440110
61225025044
7231661621
oct66230264
928704061
1014233780
118042060
124925184
132c44972
141c67348
1513b263a
hexd930b4

14233780 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 4730880.

The previous prime is 14233771. The next prime is 14233781. The reversal of 14233780 is 8733241.

14233780 is a nontrivial binomial coefficient, being equal to C(5336, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14233781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146692 + ... + 146788.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 214233780 is an apocalyptic number.

14233780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14233780 is the 5335-th triangular number and also the 2668-th hexagonal number.

14233780 is the 1779-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

14233780 is an abundant number, since it is smaller than the sum of its proper divisors (21328460).

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

14233780 is a wasteful number, since it uses less digits than its factorization.

14233780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 14233780 is about 3772.7682144547. The cubic root of 14233780 is about 242.3483588031.

The spelling of 14233780 in words is "fourteen million, two hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 97 110 115 116 145 194 220 230 253 290 319 388 460 485 506 580 638 667 970 1012 1067 1265 1276 1334 1595 1940 2134 2231 2530 2668 2813 3190 3335 4268 4462 5060 5335 5626 6380 6670 7337 8924 10670 11155 11252 13340 14065 14674 21340 22310 24541 28130 29348 30943 36685 44620 49082 56260 61886 64699 73370 98164 122705 123772 129398 146740 154715 245410 258796 309430 323495 490820 618860 646990 711689 1293980 1423378 2846756 3558445 7116890 14233780