Search a number
-
+
2100221200 = 245271126199
BaseRepresentation
bin111110100101110…
…1101010100010000
312102100221021212101
41331023231110100
513300124034300
6544223010144
7103021404610
oct17513552420
95370837771
102100221200
1198857a300
124a7439954
1327616774c
1415cd06a40
15c45acb6a
hex7d2ed510

2100221200 has 180 divisors, whose sum is σ = 6339524800. Its totient is φ = 654508800.

The previous prime is 2100221153. The next prime is 2100221231. The reversal of 2100221200 is 21220012.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335701 + ... + 341899.

Almost surely, 22100221200 is an apocalyptic number.

2100221200 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 2100221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169762400).

2100221200 is an abundant number, since it is smaller than the sum of its proper divisors (4239303600).

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

2100221200 is a wasteful number, since it uses less digits than its factorization.

2100221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246 (or 6224 counting only the distinct ones).

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

The square root of 2100221200 is about 45828.1703758725. The cubic root of 2100221200 is about 1280.6241259662.

Adding to 2100221200 its reverse (21220012), we get a palindrome (2121441212).

The spelling of 2100221200 in words is "two billion, one hundred million, two hundred twenty-one thousand, two hundred".