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445222544 = 241310121193
BaseRepresentation
bin11010100010011…
…000111010010000
31011000202122111212
4122202120322100
51402434110134
6112102355252
714014220624
oct3242307220
91130678455
10445222544
11209353318
1210512bb28
13713162c0
14431b7184
1529147bce
hex1a898e90

445222544 has 40 divisors (see below), whose sum is σ = 938215992. Its totient is φ = 203443200.

The previous prime is 445222507. The next prime is 445222577.

445222544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 15904144 + 429318400 = 3988^2 + 20720^2 .

It is a super-2 number, since 2×4452225442 = 396446227371663872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 445222544.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10412 + ... + 31604.

Almost surely, 2445222544 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 445222544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469107996).

445222544 is an abundant number, since it is smaller than the sum of its proper divisors (492993448).

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

445222544 is a wasteful number, since it uses less digits than its factorization.

445222544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21315 (or 21309 counting only the distinct ones).

The product of its digits is 51200, while the sum is 32.

The square root of 445222544 is about 21100.2972490911. The cubic root of 445222544 is about 763.5879195476.

The spelling of 445222544 in words is "four hundred forty-five million, two hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 2626 5252 10504 21008 21193 42386 84772 169544 275509 339088 551018 1102036 2140493 2204072 4280986 4408144 8561972 17123944 27826409 34247888 55652818 111305636 222611272 445222544