Search a number
-
+
221210220000 = 2535471147881
BaseRepresentation
bin1100111000000100101…
…0000001010111100000
3210010222112001111111010
43032001022001113200
512111014304020000
6245342250420520
721660536563050
oct3160112012740
9703875044433
10221210220000
11858a6447440
1236a56a31740
1317b24659003
14a9c6dd7560
155b4a598d50
hex33812815e0

221210220000 has 480 divisors, whose sum is σ = 904680209664. Its totient is φ = 45964800000.

The previous prime is 221210219969. The next prime is 221210220041. The reversal of 221210220000 is 22012122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2212102200002 (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 4596060 + ... + 4643940.

Almost surely, 2221210220000 is an apocalyptic number.

221210220000 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 221210220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452340104832).

221210220000 is an abundant number, since it is smaller than the sum of its proper divisors (683469989664).

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

221210220000 is a wasteful number, since it uses less digits than its factorization.

221210220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47932 (or 47909 counting only the distinct ones).

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

Adding to 221210220000 its reverse (22012122), we get a palindrome (221232232122).

The spelling of 221210220000 in words is "two hundred twenty-one billion, two hundred ten million, two hundred twenty thousand".