Search a number
-
+
11220468 = 2237223599
BaseRepresentation
bin101010110011…
…010111110100
3210010001120220
4222303113310
510333023333
61040254340
7164241510
oct52632764
923101526
1011220468
116374116
1239113b0
13242b23c
1416c1140
15eb98b3
hexab35f4

11220468 has 48 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 3186144.

The previous prime is 11220467. The next prime is 11220487. The reversal of 11220468 is 86402211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18433 + ... + 19031.

It is an arithmetic number, because the mean of its divisors is an integer number (627200).

Almost surely, 211220468 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 11220468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052800).

11220468 is an abundant number, since it is smaller than the sum of its proper divisors (18885132).

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

11220468 is a wasteful number, since it uses less digits than its factorization.

11220468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11220468 is about 3349.6967026882. The cubic root of 11220468 is about 223.8739990777.

Adding to 11220468 its reverse (86402211), we get a palindrome (97622679).

The spelling of 11220468 in words is "eleven million, two hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 599 669 892 1198 1338 1561 1797 2396 2676 3122 3594 4193 4683 6244 7188 8386 9366 12579 16772 18732 25158 50316 133577 267154 400731 534308 801462 935039 1602924 1870078 2805117 3740156 5610234 11220468