Search a number
-
+
221020021200 = 243521123337177
BaseRepresentation
bin1100110111010111010…
…0011110000111010000
3210010111021011101210010
43031311310132013100
512110122111134300
6245311334034520
721653040116436
oct3156564360720
9703437141703
10221020021200
1185809049250
1236a031a8a40
1317ac4123c44
14a9a9a46d56
155b38a28a50
hex3375d1e1d0

221020021200 has 240 divisors, whose sum is σ = 772803233856. Its totient is φ = 53550182400.

The previous prime is 221020021169. The next prime is 221020021241. The reversal of 221020021200 is 2120020122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30792012 + ... + 30799188.

Almost surely, 2221020021200 is an apocalyptic number.

221020021200 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 221020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386401616928).

221020021200 is an abundant number, since it is smaller than the sum of its proper divisors (551783212656).

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

221020021200 is a wasteful number, since it uses less digits than its factorization.

221020021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221020021200 its reverse (2120020122), we get a palindrome (223140041322).

The spelling of 221020021200 in words is "two hundred twenty-one billion, twenty million, twenty-one thousand, two hundred".