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424013220 = 223252355629
BaseRepresentation
bin11001010001011…
…110110110100100
31002112212002210100
4121101132312210
51332021410340
6110024024100
713336024101
oct3121366644
91075762710
10424013220
111a8387454
12ba002030
1369acb5c7
1440455aa8
1527358830
hex1945eda4

424013220 has 36 divisors (see below), whose sum is σ = 1286173980. Its totient is φ = 113070144.

The previous prime is 424013209. The next prime is 424013243. The reversal of 424013220 is 22310424.

424013220 is a `hidden beast` number, since 42 + 401 + 3 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 130370724 = 17136^2 + 11418^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 424013193 and 424013202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177635 + ... + 1177994.

It is an arithmetic number, because the mean of its divisors is an integer number (35727055).

Almost surely, 2424013220 is an apocalyptic number.

It is an amenable number.

424013220 is an abundant number, since it is smaller than the sum of its proper divisors (862160760).

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

424013220 is a wasteful number, since it uses less digits than its factorization.

424013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355644 (or 2355639 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 424013220 is about 20591.5812894493. The cubic root of 424013220 is about 751.2649586401.

Adding to 424013220 its reverse (22310424), we get a palindrome (446323644).

The spelling of 424013220 in words is "four hundred twenty-four million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2355629 4711258 7066887 9422516 11778145 14133774 21200661 23556290 28267548 35334435 42401322 47112580 70668870 84802644 106003305 141337740 212006610 424013220