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11220804 = 2232726361
BaseRepresentation
bin101010110011…
…011101000100
3210010002001100
4222303131010
510333031204
61040300100
7164242500
oct52633504
923102040
1011220804
1163743a1
123911630
13242b43a
1416c1300
15eb9a39
hexab3744

11220804 has 54 divisors (see below), whose sum is σ = 32999694. Its totient is φ = 3205440.

The previous prime is 11220779. The next prime is 11220809. The reversal of 11220804 is 40802211.

11220804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8398404 + 2822400 = 2898^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11220809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1417 + ... + 4944.

Almost surely, 211220804 is an apocalyptic number.

11220804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11220804 is an abundant number, since it is smaller than the sum of its proper divisors (21778890).

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

11220804 is a wasteful number, since it uses less digits than its factorization.

11220804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11220804 is about 3349.7468561072. The cubic root of 11220804 is about 223.8762337116.

The spelling of 11220804 in words is "eleven million, two hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 6361 12722 19083 25444 38166 44527 57249 76332 89054 114498 133581 178108 228996 267162 311689 400743 534324 623378 801486 935067 1246756 1602972 1870134 2805201 3740268 5610402 11220804