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194894100 = 22345224061
BaseRepresentation
bin10111001110111…
…01100100010100
3111120201122110000
423213131210110
5344343102400
631201131300
74554400242
oct1347354424
9446648400
10194894100
11a0015905
1255329b30
13314ba26b
141bc53792
151219b600
hexb9dd914

194894100 has 90 divisors (see below), whose sum is σ = 631795934. Its totient is φ = 51969600.

The previous prime is 194894099. The next prime is 194894131. The reversal of 194894100 is 1498491.

It can be written as a sum of positive squares in 3 ways, for example, as 63011844 + 131882256 = 7938^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3931 + ... + 20130.

Almost surely, 2194894100 is an apocalyptic number.

194894100 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 194894100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315897967).

194894100 is an abundant number, since it is smaller than the sum of its proper divisors (436901834).

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

194894100 is a wasteful number, since it uses less digits than its factorization.

194894100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24087 (or 24071 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 194894100 is about 13960.4477005575. The cubic root of 194894100 is about 579.7840059781.

The spelling of 194894100 in words is "one hundred ninety-four million, eight hundred ninety-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 24061 48122 72183 96244 120305 144366 216549 240610 288732 360915 433098 481220 601525 649647 721830 866196 1082745 1203050 1299294 1443660 1804575 1948941 2165490 2406100 2598588 3248235 3609150 3897882 4330980 5413725 6496470 7218300 7795764 9744705 10827450 12992940 16241175 19489410 21654900 32482350 38978820 48723525 64964700 97447050 194894100