[go: up one dir, main page]

Search a number
-
+
3222420 = 2235431249
BaseRepresentation
bin1100010010101110010100
320001201022220
430102232110
51311104140
6153022340
736250545
oct14225624
96051286
103222420
111901063
1210b49b0
1388a976
145dc4cc
15439bd0
hex312b94

3222420 has 48 divisors (see below), whose sum is σ = 9240000. Its totient is φ = 838656.

The previous prime is 3222413. The next prime is 3222467. The reversal of 3222420 is 242223.

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 3222420.

It is a congruent number.

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, 1956 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (192500).

Almost surely, 23222420 is an apocalyptic number.

3222420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620000).

3222420 is an abundant number, since it is smaller than the sum of its proper divisors (6017580).

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

3222420 is a wasteful number, since it uses less digits than its factorization.

3222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1302 counting only the distinct ones).

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

The square root of 3222420 is about 1795.1100244832. The cubic root of 3222420 is about 147.7046092685.

Adding to 3222420 its reverse (242223), we get a palindrome (3464643).

The spelling of 3222420 in words is "three million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1249 1290 2498 2580 3747 4996 6245 7494 12490 14988 18735 24980 37470 53707 74940 107414 161121 214828 268535 322242 537070 644484 805605 1074140 1611210 3222420