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221103013200 = 243521773148471
BaseRepresentation
bin1100110111101011000…
…1000011110101010000
3210010201001022211101220
43031322301003311100
512110304332410300
6245323500525040
721655065413556
oct3157261036520
9703631284356
10221103013200
1185850983383
1236a26b50780
1317b08391134
14a9b6a8bbd6
155b40e6dda0
hex337ac43d50

221103013200 has 240 divisors, whose sum is σ = 760207522176. Its totient is φ = 54731980800.

The previous prime is 221103013141. The next prime is 221103013231. The reversal of 221103013200 is 2310301122.

221103013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2211030132002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221103013200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414965 + ... + 1563435.

Almost surely, 2221103013200 is an apocalyptic number.

221103013200 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 221103013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380103761088).

221103013200 is an abundant number, since it is smaller than the sum of its proper divisors (539104508976).

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

221103013200 is a wasteful number, since it uses less digits than its factorization.

221103013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148582 (or 148571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221103013200 its reverse (2310301122), we get a palindrome (223413314322).

The spelling of 221103013200 in words is "two hundred twenty-one billion, one hundred three million, thirteen thousand, two hundred".