Search a number
-
+
199997100 = 22345224691
BaseRepresentation
bin10111110101110…
…11011010101100
3111221022220110000
423322323122230
5402144401400
631502344300
74645642632
oct1372733254
9457286400
10199997100
11a2990866
1256b8b090
1332585ba4
141c7c1352
1512858600
hexbebb6ac

199997100 has 90 divisors (see below), whose sum is σ = 648337844. Its totient is φ = 53330400.

The previous prime is 199997081. The next prime is 199997107. The reversal of 199997100 is 1799991.

199997100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (199997107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4246 + ... + 20445.

Almost surely, 2199997100 is an apocalyptic number.

199997100 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 199997100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324168922).

199997100 is an abundant number, since it is smaller than the sum of its proper divisors (448340744).

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

199997100 is a wasteful number, since it uses less digits than its factorization.

199997100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24717 (or 24701 counting only the distinct ones).

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

The square root of 199997100 is about 14142.0330928760. The cubic root of 199997100 is about 584.8007210784.

It can be divided in two parts, 1999 and 97100, that added together give a palindrome (99099).

The spelling of 199997100 in words is "one hundred ninety-nine million, nine hundred ninety-seven 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 24691 49382 74073 98764 123455 148146 222219 246910 296292 370365 444438 493820 617275 666657 740730 888876 1111095 1234550 1333314 1481460 1851825 1999971 2222190 2469100 2666628 3333285 3703650 3999942 4444380 5555475 6666570 7407300 7999884 9999855 11110950 13333140 16666425 19999710 22221900 33332850 39999420 49999275 66665700 99998550 199997100