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2220204441 = 37138132617
BaseRepresentation
bin1000010001010101…
…1010000110011001
312201201201001221010
42010111122012121
514021333020231
61004150404133
7106006266150
oct20425320631
95651631833
102220204441
11a3a27a504
1251b660649
13294c86b50
14170c1a597
15cedad546
hex8455a199

2220204441 has 16 divisors (see below), whose sum is σ = 3643412864. Its totient is φ = 1171096704.

The previous prime is 2220204409. The next prime is 2220204457. The reversal of 2220204441 is 1444020222.

It is not a de Polignac number, because 2220204441 - 25 = 2220204409 is a prime.

It is a super-2 number, since 2×22202044412 = 9858615519672244962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2220204401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4066036 + ... + 4066581.

It is an arithmetic number, because the mean of its divisors is an integer number (227713304).

Almost surely, 22220204441 is an apocalyptic number.

2220204441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220204441 is a deficient number, since it is larger than the sum of its proper divisors (1423208423).

2220204441 is a wasteful number, since it uses less digits than its factorization.

2220204441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132640.

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2220204441 is about 47119.0454169012. The cubic root of 2220204441 is about 1304.5607934649.

Adding to 2220204441 its reverse (1444020222), we get a palindrome (3664224663).

The spelling of 2220204441 in words is "two billion, two hundred twenty million, two hundred four thousand, four hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 8132617 24397851 56928319 105724021 170784957 317172063 740068147 2220204441