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4198220 = 2251367241
BaseRepresentation
bin10000000000111101001100
321220021212122
4100000331030
52033320340
6225552112
750453465
oct20007514
97807778
104198220
112408204
1214a5638
13b3cb70
147b3d6c
1557ddb5
hex400f4c

4198220 has 48 divisors (see below), whose sum is σ = 9676128. Its totient is φ = 1520640.

The previous prime is 4198211. The next prime is 4198247. The reversal of 4198220 is 228914.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4198220.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17300 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (201586).

Almost surely, 24198220 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 4198220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838064).

4198220 is an abundant number, since it is smaller than the sum of its proper divisors (5477908).

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

4198220 is a wasteful number, since it uses less digits than its factorization.

4198220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4198220 is about 2048.9558316372. The cubic root of 4198220 is about 161.3200685009.

The spelling of 4198220 in words is "four million, one hundred ninety-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 241 260 268 335 482 670 871 964 1205 1340 1742 2410 3133 3484 4355 4820 6266 8710 12532 15665 16147 17420 31330 32294 62660 64588 80735 161470 209911 322940 419822 839644 1049555 2099110 4198220