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199979100 = 223252222199
BaseRepresentation
bin10111110101101…
…11000001011100
3111221021222202100
423322313001130
5402143312400
631502125100
74645536306
oct1372670134
9457258670
10199979100
11a2979292
1256b80790
133257a939
141c7b8976
1512853100
hexbeb705c

199979100 has 54 divisors (see below), whose sum is σ = 626826200. Its totient is φ = 53327520.

The previous prime is 199979093. The next prime is 199979107. The reversal of 199979100 is 1979991.

It is an interprime number because it is at equal distance from previous prime (199979093) and next prime (199979107).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199979107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110200 + ... + 111999.

Almost surely, 2199979100 is an apocalyptic number.

199979100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199979100 is an abundant number, since it is smaller than the sum of its proper divisors (426847100).

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

199979100 is a wasteful number, since it uses less digits than its factorization.

199979100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222219 (or 222209 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 45.

The square root of 199979100 is about 14141.3966778391. The cubic root of 199979100 is about 584.7831762760.

The spelling of 199979100 in words is "one hundred ninety-nine million, nine hundred seventy-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 222199 444398 666597 888796 1110995 1333194 1999791 2221990 2666388 3332985 3999582 4443980 5554975 6665970 7999164 9998955 11109950 13331940 16664925 19997910 22219900 33329850 39995820 49994775 66659700 99989550 199979100