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14801220 = 22325717691
BaseRepresentation
bin111000011101…
…100101000100
31000211222110100
4320131211010
512242114340
61245124100
7236544150
oct70354504
930758410
1014801220
11839a415
124b59630
1330b3025
141d74060
151475830
hexe1d944

14801220 has 144 divisors (see below), whose sum is σ = 54407808. Its totient is φ = 3179520.

The previous prime is 14801197. The next prime is 14801231. The reversal of 14801220 is 2210841.

It is a super-2 number, since 2×148012202 = 438152226976800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14801193 and 14801202.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21075 + ... + 21765.

It is an arithmetic number, because the mean of its divisors is an integer number (377832).

Almost surely, 214801220 is an apocalyptic number.

14801220 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 14801220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203904).

14801220 is an abundant number, since it is smaller than the sum of its proper divisors (39606588).

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

14801220 is a wasteful number, since it uses less digits than its factorization.

14801220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14801220 is about 3847.2353710164. The cubic root of 14801220 is about 245.5269513290.

The spelling of 14801220 in words is "fourteen million, eight hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 691 714 765 1020 1071 1190 1260 1382 1428 1530 1785 2073 2142 2380 2764 3060 3455 3570 4146 4284 4837 5355 6219 6910 7140 8292 9674 10365 10710 11747 12438 13820 14511 19348 20730 21420 23494 24185 24876 29022 31095 35241 41460 43533 46988 48370 58044 58735 62190 70482 72555 82229 87066 96740 105723 117470 124380 140964 145110 164458 174132 176205 211446 217665 234940 246687 290220 328916 352410 411145 422892 435330 493374 528615 704820 740061 822290 870660 986748 1057230 1233435 1480122 1644580 2114460 2466870 2960244 3700305 4933740 7400610 14801220