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2220220032 = 2734325359
BaseRepresentation
bin1000010001010101…
…1101111010000000
312201201201212022120
42010111131322000
514021334020112
61004151004240
7106006362462
oct20425357200
95651655276
102220220032
11a3a290198
1251b669680
13294c90c84
14170c22132
15cedb2e8c
hex8455de80

2220220032 has 192 divisors, whose sum is σ = 6255986400. Its totient is φ = 697202688.

The previous prime is 2220220027. The next prime is 2220220073. The reversal of 2220220032 is 2300220222.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2220219993 and 2220220020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37630819 + ... + 37630877.

Almost surely, 22220220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127993200).

2220220032 is an abundant number, since it is smaller than the sum of its proper divisors (4035766368).

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

2220220032 is an equidigital number, since it uses as much as digits as its factorization.

2220220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2220220032 is about 47119.2108592663. The cubic root of 2220220032 is about 1304.5638471416.

Adding to 2220220032 its reverse (2300220222), we get a palindrome (4520440254).

The spelling of 2220220032 in words is "two billion, two hundred twenty million, two hundred twenty thousand, thirty-two".