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11220608 = 27721789
BaseRepresentation
bin101010110011…
…011010000000
3210010001210002
4222303122000
510333024413
61040255132
7164242100
oct52633200
923101702
1011220608
116374233
1239114a8
13242b319
1416c1200
15eb9958
hexab3680

11220608 has 48 divisors (see below), whose sum is σ = 26017650. Its totient is φ = 4806144.

The previous prime is 11220553. The next prime is 11220623. The reversal of 11220608 is 80602211.

It can be written as a sum of positive squares in only one way, i.e., 6927424 + 4293184 = 2632^2 + 2072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11220608.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5378 + ... + 7166.

Almost surely, 211220608 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 11220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008825).

11220608 is an abundant number, since it is smaller than the sum of its proper divisors (14797042).

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

11220608 is an equidigital number, since it uses as much as digits as its factorization.

11220608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 11220608 is about 3349.7176000374. The cubic root of 11220608 is about 223.8749301806.

Adding to 11220608 its reverse (80602211), we get a palindrome (91822819).

The spelling of 11220608 in words is "eleven million, two hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 1789 3136 3578 6272 7156 12523 14312 25046 28624 50092 57248 87661 100184 114496 175322 200368 228992 350644 400736 701288 801472 1402576 1602944 2805152 5610304 11220608