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14219310 = 2357217569
BaseRepresentation
bin110110001111…
…100000101110
3222202102020010
4312033200232
512120004220
61224434050
7231601500
oct66174056
928672203
1014219310
1180321a6
124918926
132c3b1c1
141c61d70
1513ad1e0
hexd8f82e

14219310 has 96 divisors (see below), whose sum is σ = 42107040. Its totient is φ = 3053568.

The previous prime is 14219299. The next prime is 14219321. The reversal of 14219310 is 1391241.

It is an interprime number because it is at equal distance from previous prime (14219299) and next prime (14219321).

It is a super-2 number, since 2×142193102 = 404377553752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24706 + ... + 25274.

It is an arithmetic number, because the mean of its divisors is an integer number (438615).

Almost surely, 214219310 is an apocalyptic number.

14219310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14219310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21053520).

14219310 is an abundant number, since it is smaller than the sum of its proper divisors (27887730).

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

14219310 is a wasteful number, since it uses less digits than its factorization.

14219310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 14219310 is about 3770.8500367954. The cubic root of 14219310 is about 242.2662075228.

It can be divided in two parts, 1421 and 9310, that added together give a triangular number (10731 = T146).

The spelling of 14219310 in words is "fourteen million, two hundred nineteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 569 595 714 735 833 1138 1190 1470 1666 1707 1785 2499 2845 3414 3570 3983 4165 4998 5690 7966 8330 8535 9673 11949 12495 17070 19346 19915 23898 24990 27881 29019 39830 48365 55762 58038 59745 67711 83643 96730 119490 135422 139405 145095 167286 203133 278810 290190 338555 406266 418215 473977 677110 836430 947954 1015665 1421931 2031330 2369885 2843862 4739770 7109655 14219310