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2221010220 = 223511131715227
BaseRepresentation
bin1000010001100001…
…1110110100101100
312201210020000020210
42010120132310230
514022034311340
61004215542420
7106016163312
oct20430366454
95653200223
102221010220
11a3a77a940
1251b98aa10
132951a9840
14170d8a0b2
15ceebc180
hex8461ed2c

2221010220 has 192 divisors, whose sum is σ = 7736311296. Its totient is φ = 467742720.

The previous prime is 2221010189. The next prime is 2221010257. The reversal of 2221010220 is 220101222.

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 = 2221010196 and 2221010205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138247 + ... + 153473.

It is an arithmetic number, because the mean of its divisors is an integer number (40293288).

Almost surely, 22221010220 is an apocalyptic number.

2221010220 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 2221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868155648).

2221010220 is an abundant number, since it is smaller than the sum of its proper divisors (5515301076).

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

2221010220 is a wasteful number, since it uses less digits than its factorization.

2221010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15278 counting only the distinct ones).

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

The square root of 2221010220 is about 47127.5951009597. The cubic root of 2221010220 is about 1304.7185958319.

Adding to 2221010220 its reverse (220101222), we get a palindrome (2441111442).

The spelling of 2221010220 in words is "two billion, two hundred twenty-one million, ten thousand, two hundred twenty".