Search a number
-
+
200121220 = 22513799743
BaseRepresentation
bin10111110110110…
…01101110000100
3111221120012201001
423323121232010
5402212334340
631505143044
74650000535
oct1373315604
9457505631
10200121220
11a2a66042
125702aa84
13325ca530
141c81468c
151288029a
hexbed9b84

200121220 has 48 divisors (see below), whose sum is σ = 458357760. Its totient is φ = 72948096.

The previous prime is 200121211. The next prime is 200121221. The reversal of 200121220 is 22121002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200121197 and 200121206.

It is not an unprimeable number, because it can be changed into a prime (200121221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15669 + ... + 25411.

It is an arithmetic number, because the mean of its divisors is an integer number (9549120).

Almost surely, 2200121220 is an apocalyptic number.

200121220 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 200121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229178880).

200121220 is an abundant number, since it is smaller than the sum of its proper divisors (258236540).

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

200121220 is a wasteful number, since it uses less digits than its factorization.

200121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9844 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200121220 is about 14146.4207487265. The cubic root of 200121220 is about 584.9216735905.

Adding to 200121220 its reverse (22121002), we get a palindrome (222242222).

The spelling of 200121220 in words is "two hundred million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 4108 5135 9743 10270 19486 20540 38972 48715 97430 126659 194860 253318 506636 633295 769697 1266590 1539394 2533180 3078788 3848485 7696970 10006061 15393940 20012122 40024244 50030305 100060610 200121220