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220031221200 = 24352761429413
BaseRepresentation
bin1100110011101011100…
…0011111110111010000
3210000221100120011011220
43030322320133313100
512101110443034300
6245025252405040
721616402343550
oct3147270376720
9700840504156
10220031221200
118535098516a
1236788016780
131799730889b
14a9145b3160
155acbd0ada0
hex333ae1fdd0

220031221200 has 240 divisors, whose sum is σ = 818731038336. Its totient is φ = 49468262400.

The previous prime is 220031221103. The next prime is 220031221327. The reversal of 220031221200 is 2122130022.

It is a happy number.

220031221200 is digitally balanced in base 7, 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-3 number, since 3×2200312212003 (a number of 35 digits) contains 333 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 220031221200.

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, 297694 + ... + 727106.

Almost surely, 2220031221200 is an apocalyptic number.

220031221200 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 220031221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409365519168).

220031221200 is an abundant number, since it is smaller than the sum of its proper divisors (598699817136).

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

220031221200 is a wasteful number, since it uses less digits than its factorization.

220031221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429502 (or 429491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220031221200 its reverse (2122130022), we get a palindrome (222153351222).

The spelling of 220031221200 in words is "two hundred twenty billion, thirty-one million, two hundred twenty-one thousand, two hundred".