Search a number
-
+
14223200 = 255223773
BaseRepresentation
bin110110010000…
…011101100000
3222202121120012
4312100131200
512120120300
61224504052
7231616025
oct66203540
928677505
1014223200
118035112
12491b028
132c3cbc4
141c6354c
1513ae435
hexd90760

14223200 has 72 divisors (see below), whose sum is σ = 36278928. Its totient is φ = 5434880.

The previous prime is 14223199. The next prime is 14223227. The reversal of 14223200 is 232241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18014 + ... + 18786.

It is an arithmetic number, because the mean of its divisors is an integer number (503874).

Almost surely, 214223200 is an apocalyptic number.

14223200 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 14223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139464).

14223200 is an abundant number, since it is smaller than the sum of its proper divisors (22055728).

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

14223200 is a wasteful number, since it uses less digits than its factorization.

14223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 14223200 is about 3771.3658003434. The cubic root of 14223200 is about 242.2882978966.

Adding to 14223200 its reverse (232241), we get a palindrome (14455441).

The spelling of 14223200 in words is "fourteen million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 160 184 200 230 368 400 460 575 736 773 800 920 1150 1546 1840 2300 3092 3680 3865 4600 6184 7730 9200 12368 15460 17779 18400 19325 24736 30920 35558 38650 61840 71116 77300 88895 123680 142232 154600 177790 284464 309200 355580 444475 568928 618400 711160 888950 1422320 1777900 2844640 3555800 7111600 14223200