Search a number
-
+
3722220 = 2233561113
BaseRepresentation
bin1110001100101111101100
321000002221000
432030233230
51423102340
6211440300
743431645
oct16145754
97002830
103722220
112112617
1212b6090
13a042c8
146cc6cc
154d7d30
hex38cbec

3722220 has 96 divisors (see below), whose sum is σ = 11874240. Its totient is φ = 967680.

The previous prime is 3722219. The next prime is 3722221. The reversal of 3722220 is 222273.

3722220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3722219) and next prime (3722221).

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 = 3722193 and 3722202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3722221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32884 + ... + 32996.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

Almost surely, 23722220 is an apocalyptic number.

3722220 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 3722220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937120).

3722220 is an abundant number, since it is smaller than the sum of its proper divisors (8152020).

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

3722220 is a wasteful number, since it uses less digits than its factorization.

3722220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3722220 is about 1929.3055745527. The cubic root of 3722220 is about 154.9770344053.

Adding to 3722220 its reverse (222273), we get a palindrome (3944493).

The spelling of 3722220 in words is "three million, seven hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 113 122 135 180 183 226 244 270 305 339 366 452 540 549 565 610 678 732 915 1017 1098 1130 1220 1356 1647 1695 1830 2034 2196 2260 2745 3051 3294 3390 3660 4068 5085 5490 6102 6588 6780 6893 8235 10170 10980 12204 13786 15255 16470 20340 20679 27572 30510 32940 34465 41358 61020 62037 68930 82716 103395 124074 137860 186111 206790 248148 310185 372222 413580 620370 744444 930555 1240740 1861110 3722220