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14223013000 = 235379720947
BaseRepresentation
bin11010011111100000…
…11111010010001000
31100201020002220220021
431033300133102020
5213112042404000
610311200310224
71012313421130
oct151760372210
940636086807
1014223013000
11603957a1a9
12290b312374
131458892b31
1498cd69ac0
155839d611a
hex34fc1f488

14223013000 has 128 divisors (see below), whose sum is σ = 38430362880. Its totient is φ = 4825958400.

The previous prime is 14223012971. The next prime is 14223013043. The reversal of 14223013000 is 31032241.

It is a happy number.

14223013000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668527 + ... + 689473.

It is an arithmetic number, because the mean of its divisors is an integer number (300237210).

Almost surely, 214223013000 is an apocalyptic number.

14223013000 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 14223013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215181440).

14223013000 is an abundant number, since it is smaller than the sum of its proper divisors (24207349880).

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

14223013000 is a wasteful number, since it uses less digits than its factorization.

14223013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21072 (or 21058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14223013000 its reverse (31032241), we get a palindrome (14254045241).

The spelling of 14223013000 in words is "fourteen billion, two hundred twenty-three million, thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 125 140 175 194 200 250 280 350 388 485 500 679 700 776 875 970 1000 1358 1400 1750 1940 2425 2716 3395 3500 3880 4850 5432 6790 7000 9700 12125 13580 16975 19400 20947 24250 27160 33950 41894 48500 67900 83788 84875 97000 104735 135800 146629 167576 169750 209470 293258 339500 418940 523675 586516 679000 733145 837880 1047350 1173032 1466290 2031859 2094700 2618375 2932580 3665725 4063718 4189400 5236750 5865160 7331450 8127436 10159295 10473500 14223013 14662900 16254872 18328625 20318590 20947000 28446026 29325800 36657250 40637180 50796475 56892052 71115065 73314500 81274360 101592950 113784104 142230130 146629000 203185900 253982375 284460260 355575325 406371800 507964750 568920520 711150650 1015929500 1422301300 1777876625 2031859000 2844602600 3555753250 7111506500 14223013000