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22200101220 = 2235111916310861
BaseRepresentation
bin10100101011001110…
…101010100101100100
32010022011101222202010
4110223032222211210
5330431211214340
614110521114220
71414065514113
oct245316524544
963264358663
1022200101220
1194624186a0
124376928970
13212a44338b
14110858bc7a
1589dea7b80
hex52b3aa964

22200101220 has 192 divisors, whose sum is σ = 71824757760. Its totient is φ = 5066841600.

The previous prime is 22200101197. The next prime is 22200101221. The reversal of 22200101220 is 2210100222.

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

It is a junction number, because it is equal to n+sod(n) for n = 22200101196 and 22200101205.

It is not an unprimeable number, because it can be changed into a prime (22200101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2038590 + ... + 2049450.

It is an arithmetic number, because the mean of its divisors is an integer number (374087280).

Almost surely, 222200101220 is an apocalyptic number.

22200101220 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 22200101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35912378880).

22200101220 is an abundant number, since it is smaller than the sum of its proper divisors (49624656540).

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

22200101220 is a wasteful number, since it uses less digits than its factorization.

22200101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066 (or 11064 counting only the distinct ones).

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

Adding to 22200101220 its reverse (2210100222), we get a palindrome (24410201442).

The spelling of 22200101220 in words is "twenty-two billion, two hundred million, one hundred one thousand, two hundred twenty".