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420032220 = 223518138677
BaseRepresentation
bin11001000010010…
…010111011011100
31002021100211212220
4121002102323130
51330012012340
6105402425340
713260133506
oct3102227334
91067324786
10420032220
111a6108473
12b8802250
136903659a
143dadad76
1526d1ded0
hex19092edc

420032220 has 48 divisors (see below), whose sum is σ = 1182618528. Its totient is φ = 111386880.

The previous prime is 420032191. The next prime is 420032227. The reversal of 420032220 is 22230024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420032220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420032227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8479 + ... + 30198.

It is an arithmetic number, because the mean of its divisors is an integer number (24637886).

Almost surely, 2420032220 is an apocalyptic number.

It is an amenable number.

420032220 is an abundant number, since it is smaller than the sum of its proper divisors (762586308).

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

420032220 is a wasteful number, since it uses less digits than its factorization.

420032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38870 (or 38868 counting only the distinct ones).

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

The square root of 420032220 is about 20494.6876043525. The cubic root of 420032220 is about 748.9063883487.

Adding to 420032220 its reverse (22230024), we get a palindrome (442262244).

The spelling of 420032220 in words is "four hundred twenty million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 38677 77354 116031 154708 193385 232062 386770 464124 580155 773540 1160310 2320620 7000537 14001074 21001611 28002148 35002685 42003222 70005370 84006444 105008055 140010740 210016110 420032220