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14022414200 = 23521910734487
BaseRepresentation
bin11010000111100110…
…10000111101111000
31100012020122110002002
431003303100331320
5212204214223300
610235233000132
71004326361024
oct150363207570
940166573062
1014022414200
115a46318373
1228740b3048
131426159112
1497046d384
155710ae5d5
hex343cd0f78

14022414200 has 96 divisors (see below), whose sum is σ = 34639747200. Its totient is φ = 5263943040.

The previous prime is 14022414199. The next prime is 14022414239. The reversal of 14022414200 is 241422041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389357 + ... + 423843.

It is an arithmetic number, because the mean of its divisors is an integer number (360830700).

Almost surely, 214022414200 is an apocalyptic number.

14022414200 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 14022414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17319873600).

14022414200 is an abundant number, since it is smaller than the sum of its proper divisors (20617333000).

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

14022414200 is a wasteful number, since it uses less digits than its factorization.

14022414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34629 (or 34620 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14022414200 its reverse (241422041), we get a palindrome (14263836241).

The spelling of 14022414200 in words is "fourteen billion, twenty-two million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 107 152 190 200 214 380 428 475 535 760 856 950 1070 1900 2033 2140 2675 3800 4066 4280 5350 8132 10165 10700 16264 20330 21400 34487 40660 50825 68974 81320 101650 137948 172435 203300 275896 344870 406600 655253 689740 862175 1310506 1379480 1724350 2621012 3276265 3448700 3690109 5242024 6552530 6897400 7380218 13105060 14760436 16381325 18450545 26210120 29520872 32762650 36901090 65525300 70112071 73802180 92252725 131050600 140224142 147604360 184505450 280448284 350560355 369010900 560896568 701120710 738021800 1402241420 1752801775 2804482840 3505603550 7011207100 14022414200