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22210001220 = 223511175093889
BaseRepresentation
bin10100101011110100…
…011011100101000100
32010022212000221222210
4110223310123211010
5330441230014340
614111513223420
71414245616101
oct245364334504
963285027883
1022210001220
119467a6a710
12437a101b70
13212c4cb574
141109a07aa8
1589ecb1180
hex52bd1b944

22210001220 has 192 divisors, whose sum is σ = 71991763200. Its totient is φ = 5056266240.

The previous prime is 22210001213. The next prime is 22210001257. The reversal of 22210001220 is 2210001222.

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 = 22210001196 and 22210001205.

It is an unprimeable number.

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, 5709036 + ... + 5712924.

It is an arithmetic number, because the mean of its divisors is an integer number (374957100).

Almost surely, 222210001220 is an apocalyptic number.

22210001220 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 22210001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35995881600).

22210001220 is an abundant number, since it is smaller than the sum of its proper divisors (49781761980).

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

22210001220 is a wasteful number, since it uses less digits than its factorization.

22210001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4436 counting only the distinct ones).

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

Adding to 22210001220 its reverse (2210001222), we get a palindrome (24420002442).

The spelling of 22210001220 in words is "twenty-two billion, two hundred ten million, one thousand, two hundred twenty".