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14323100 = 22521129449
BaseRepresentation
bin110110101000…
…110110011100
3222221200121012
4312220312130
512131314400
61230554352
7232513211
oct66506634
928850535
1014323100
1180a3180
1249689b8
132c7650c
141c8bb08
1513cdd35
hexda8d9c

14323100 has 72 divisors (see below), whose sum is σ = 35154000. Its totient is φ = 5017600.

The previous prime is 14323097. The next prime is 14323103. The reversal of 14323100 is 132341.

It is an interprime number because it is at equal distance from previous prime (14323097) and next prime (14323103).

It is a super-2 number, since 2×143231002 = 410302387220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14323103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31676 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 214323100 is an apocalyptic number.

14323100 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 14323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577000).

14323100 is an abundant number, since it is smaller than the sum of its proper divisors (20830900).

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

14323100 is a wasteful number, since it uses less digits than its factorization.

14323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 14323100 is about 3784.5871637472. The cubic root of 14323100 is about 242.8542313047.

Adding to 14323100 its reverse (132341), we get a palindrome (14455441).

The spelling of 14323100 in words is "fourteen million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 449 550 580 638 725 898 1100 1276 1450 1595 1796 2245 2900 3190 4490 4939 6380 7975 8980 9878 11225 13021 15950 19756 22450 24695 26042 31900 44900 49390 52084 65105 98780 123475 130210 143231 246950 260420 286462 325525 493900 572924 651050 716155 1302100 1432310 2864620 3580775 7161550 14323100