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14233480 = 2354767113
BaseRepresentation
bin110110010010…
…111110001000
3222210010122221
4312102332020
512120432410
61225023424
7231661012
oct66227610
928703587
1014233480
118041908
124924b74
132c447a1
141c671b2
1513b24da
hexd92f88

14233480 has 64 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 5440512.

The previous prime is 14233477. The next prime is 14233507. The reversal of 14233480 is 8433241.

14233480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×142334803 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125904 + ... + 126016.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 214233480 is an apocalyptic number.

14233480 is a gapful number since it is divisible by the number (10) 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 14233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

14233480 is an abundant number, since it is smaller than the sum of its proper divisors (19255160).

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

14233480 is a wasteful number, since it uses less digits than its factorization.

14233480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 14233480 is about 3772.7284556406. The cubic root of 14233480 is about 242.3466561628.

The spelling of 14233480 in words is "fourteen million, two hundred thirty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 67 94 113 134 188 226 235 268 335 376 452 470 536 565 670 904 940 1130 1340 1880 2260 2680 3149 4520 5311 6298 7571 10622 12596 15142 15745 21244 25192 26555 30284 31490 37855 42488 53110 60568 62980 75710 106220 125960 151420 212440 302840 355837 711674 1423348 1779185 2846696 3558370 7116740 14233480