Search a number
-
+
2244635220 = 2235131353809
BaseRepresentation
bin1000010111001010…
…0110101001010100
312210102200021122210
42011302212221110
514044111311340
61010422153420
7106424041002
oct20562465124
95712607583
102244635220
11a52046733
12527882870
1329a05bc29
14174179a72
15d20d7180
hex85ca6a54

2244635220 has 96 divisors (see below), whose sum is σ = 6358746240. Its totient is φ = 591585280.

The previous prime is 2244635219. The next prime is 2244635227. The reversal of 2244635220 is 225364422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244635227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2774176 + ... + 2774984.

It is an arithmetic number, because the mean of its divisors is an integer number (66236940).

Almost surely, 22244635220 is an apocalyptic number.

2244635220 is a gapful number since it is divisible by the number (20) 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 2244635220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179373120).

2244635220 is an abundant number, since it is smaller than the sum of its proper divisors (4114111020).

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

2244635220 is a wasteful number, since it uses less digits than its factorization.

2244635220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2244635220 is about 47377.5814072437. The cubic root of 2244635220 is about 1309.3284089383.

Adding to 2244635220 its reverse (225364422), we get a palindrome (2469999642).

The spelling of 2244635220 in words is "two billion, two hundred forty-four million, six hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 353 393 524 655 706 786 809 1059 1310 1412 1572 1618 1765 1965 2118 2427 2620 3236 3530 3930 4045 4236 4854 5295 7060 7860 8090 9708 10590 12135 16180 21180 24270 46243 48540 92486 105979 138729 184972 211958 231215 277458 285577 317937 423916 462430 529895 554916 571154 635874 693645 856731 924860 1059790 1142308 1271748 1387290 1427885 1589685 1713462 2119580 2774580 2855770 3179370 3426924 4283655 5711540 6358740 8567310 17134620 37410587 74821174 112231761 149642348 187052935 224463522 374105870 448927044 561158805 748211740 1122317610 2244635220