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14022174100 = 22521117097459
BaseRepresentation
bin11010000111100100…
…10110010110010100
31100012020012020201111
431003302112112110
5212204134032400
610235223504404
71004324341024
oct150362262624
940166166644
1014022174100
115a46173a40
122873bb8104
1314260a3a4c
14970409a84
155710633ba
hex343c96594

14022174100 has 72 divisors (see below), whose sum is σ = 33218186400. Its totient is φ = 5095305600.

The previous prime is 14022174083. The next prime is 14022174113. The reversal of 14022174100 is 147122041.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1876171 + ... + 1883629.

It is an arithmetic number, because the mean of its divisors is an integer number (461363700).

Almost surely, 214022174100 is an apocalyptic number.

14022174100 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 14022174100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609093200).

14022174100 is an abundant number, since it is smaller than the sum of its proper divisors (19196012300).

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

14022174100 is a wasteful number, since it uses less digits than its factorization.

14022174100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9193 (or 9186 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 14022174100 its reverse (147122041), we get a palindrome (14169296141).

The spelling of 14022174100 in words is "fourteen billion, twenty-two million, one hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1709 3418 6836 7459 8545 14918 17090 18799 29836 34180 37295 37598 42725 74590 75196 82049 85450 93995 149180 164098 170900 186475 187990 328196 372950 375980 410245 469975 745900 820490 939950 1640980 1879900 2051225 4102450 8204900 12747431 25494862 50989724 63737155 127474310 140221741 254948620 280443482 318685775 560886964 637371550 701108705 1274743100 1402217410 2804434820 3505543525 7011087050 14022174100