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402220 = 225713217
BaseRepresentation
bin1100010001100101100
3202102202001
41202030230
5100332340
612342044
73263440
oct1421454
9672661
10402220
11255215
12174924
13111100
14a6820
157e29a
hex6232c

402220 has 72 divisors (see below), whose sum is σ = 1106784. Its totient is φ = 119808.

The previous prime is 402197. The next prime is 402221. The reversal of 402220 is 22204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 402197 and 402206.

It is not an unprimeable number, because it can be changed into a prime (402221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23652 + ... + 23668.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2402220 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 402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553392).

402220 is an abundant number, since it is smaller than the sum of its proper divisors (704564).

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

402220 is a wasteful number, since it uses less digits than its factorization.

402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 402220 is about 634.2081677178. The cubic root of 402220 is about 73.8166877410.

Adding to 402220 its reverse (22204), we get a palindrome (424424).

The spelling of 402220 in words is "four hundred two thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 169 170 182 221 238 260 338 340 364 442 455 476 595 676 845 884 910 1105 1183 1190 1547 1690 1820 2210 2366 2380 2873 3094 3380 4420 4732 5746 5915 6188 7735 11492 11830 14365 15470 20111 23660 28730 30940 40222 57460 80444 100555 201110 402220