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4213220 = 2251121741
BaseRepresentation
bin10000000100100111100100
321221001110012
4100010213210
52034310340
6230145352
750545304
oct20044744
97831405
104213220
112418500
1214b2258
13b4693b
147b9604
15583565
hex4049e4

4213220 has 36 divisors (see below), whose sum is σ = 9730812. Its totient is φ = 1531200.

The previous prime is 4213217. The next prime is 4213277. The reversal of 4213220 is 223124.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 3748096 = 682^2 + 1936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4213195 and 4213204.

It is a congruent number.

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, 1550 + ... + 3290.

Almost surely, 24213220 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 4213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865406).

4213220 is an abundant number, since it is smaller than the sum of its proper divisors (5517592).

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

4213220 is a wasteful number, since it uses less digits than its factorization.

4213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4213220 is about 2052.6129688765. The cubic root of 4213220 is about 161.5119692586.

Subtracting from 4213220 its product of nonzero digits (96), we obtain a palindrome (4213124).

Adding to 4213220 its reverse (223124), we get a palindrome (4436344).

The spelling of 4213220 in words is "four million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1741 2420 3482 6964 8705 17410 19151 34820 38302 76604 95755 191510 210661 383020 421322 842644 1053305 2106610 4213220