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11220948 = 2232535881
BaseRepresentation
bin101010110011…
…011111010100
3210010002020200
4222303133110
510333032243
61040300500
7164243064
oct52633724
923102220
1011220948
116374512
123911730
13242b51b
1416c13a4
15eb9ad3
hexab37d4

11220948 has 36 divisors (see below), whose sum is σ = 28904148. Its totient is φ = 3669120.

The previous prime is 11220931. The next prime is 11220991. The reversal of 11220948 is 84902211.

It can be written as a sum of positive squares in 2 ways, for example, as 8749764 + 2471184 = 2958^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1033 + ... + 4848.

It is an arithmetic number, because the mean of its divisors is an integer number (802893).

Almost surely, 211220948 is an apocalyptic number.

11220948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11220948 is an abundant number, since it is smaller than the sum of its proper divisors (17683200).

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

11220948 is a wasteful number, since it uses less digits than its factorization.

11220948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11220948 is about 3349.7683501998. The cubic root of 11220948 is about 223.8771913981.

The spelling of 11220948 in words is "eleven million, two hundred twenty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 5881 11762 17643 23524 35286 52929 70572 105858 211716 311693 623386 935079 1246772 1870158 2805237 3740316 5610474 11220948