Search a number
-
+
200122200 = 233252731523
BaseRepresentation
bin10111110110110…
…01111101011000
3111221120021001100
423323121331120
5402212402300
631505151400
74650003435
oct1373317530
9457507040
10200122200
11a2a66853
125702b560
13325cab05
141c814b8c
1512880700
hexbed9f58

200122200 has 144 divisors (see below), whose sum is σ = 681730920. Its totient is φ = 52600320.

The previous prime is 200122199. The next prime is 200122201. The reversal of 200122200 is 2221002.

It is an interprime number because it is at equal distance from previous prime (200122199) and next prime (200122201).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130639 + ... + 132161.

Almost surely, 2200122200 is an apocalyptic number.

200122200 is a gapful number since it is divisible by the number (20) 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 200122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340865460).

200122200 is an abundant number, since it is smaller than the sum of its proper divisors (481608720).

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

200122200 is a wasteful number, since it uses less digits than its factorization.

200122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200122200 is about 14146.4553864210. The cubic root of 200122200 is about 584.9226283823.

Adding to 200122200 its reverse (2221002), we get a palindrome (202343202).

The spelling of 200122200 in words is "two hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 73 75 90 100 120 146 150 180 200 219 225 292 300 360 365 438 450 584 600 657 730 876 900 1095 1314 1460 1523 1752 1800 1825 2190 2628 2920 3046 3285 3650 4380 4569 5256 5475 6092 6570 7300 7615 8760 9138 10950 12184 13140 13707 14600 15230 16425 18276 21900 22845 26280 27414 30460 32850 36552 38075 43800 45690 54828 60920 65700 68535 76150 91380 109656 111179 114225 131400 137070 152300 182760 222358 228450 274140 304600 333537 342675 444716 456900 548280 555895 667074 685350 889432 913800 1000611 1111790 1334148 1370700 1667685 2001222 2223580 2668296 2741400 2779475 3335370 4002444 4447160 5003055 5558950 6670740 8004888 8338425 10006110 11117900 13341480 16676850 20012220 22235800 25015275 33353700 40024440 50030550 66707400 100061100 200122200