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14222820 = 22351012347
BaseRepresentation
bin110110010000…
…010111100100
3222202121001010
4312100113210
512120112240
61224502220
7231614643
oct66202744
928677033
1014222820
1180348a7
12491a970
132c3c991
141c6335a
1513ae280
hexd905e4

14222820 has 48 divisors (see below), whose sum is σ = 40235328. Its totient is φ = 3753600.

The previous prime is 14222807. The next prime is 14222833. The reversal of 14222820 is 2822241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14222807) and next prime (14222833).

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 15 ways as a sum of consecutive naturals, for example, 4887 + ... + 7233.

It is an arithmetic number, because the mean of its divisors is an integer number (838236).

Almost surely, 214222820 is an apocalyptic number.

14222820 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 14222820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117664).

14222820 is an abundant number, since it is smaller than the sum of its proper divisors (26012508).

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

14222820 is a wasteful number, since it uses less digits than its factorization.

14222820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 14222820 is about 3771.3154203805. The cubic root of 14222820 is about 242.2861401456.

The spelling of 14222820 in words is "fourteen million, two hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 2347 3030 4694 6060 7041 9388 11735 14082 23470 28164 35205 46940 70410 140820 237047 474094 711141 948188 1185235 1422282 2370470 2844564 3555705 4740940 7111410 14222820