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11223040 = 2145137
BaseRepresentation
bin101010110100…
…000000000000
3210010012010011
4222310000000
510333114130
61040314304
7164252143
oct52640000
923105104
1011223040
116376044
123912994
13242c46a
1416c205a
15eba52a
hexab4000

11223040 has 60 divisors (see below), whose sum is σ = 27131076. Its totient is φ = 4456448.

The previous prime is 11223031. The next prime is 11223067. The reversal of 11223040 is 4032211.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 5914624 = 2304^2 + 2432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11223040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81852 + ... + 81988.

Almost surely, 211223040 is an apocalyptic number.

11223040 is a gapful number since it is divisible by the number (10) 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 11223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13565538).

11223040 is an abundant number, since it is smaller than the sum of its proper divisors (15908036).

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

11223040 is an frugal number, since it uses more digits than its factorization.

11223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11223040 is about 3350.0805960454. The cubic root of 11223040 is about 223.8911035317.

Adding to 11223040 its reverse (4032211), we get a palindrome (15255251).

The spelling of 11223040 in words is "eleven million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 256 274 320 512 548 640 685 1024 1096 1280 1370 2048 2192 2560 2740 4096 4384 5120 5480 8192 8768 10240 10960 16384 17536 20480 21920 35072 40960 43840 70144 81920 87680 140288 175360 280576 350720 561152 701440 1122304 1402880 2244608 2805760 5611520 11223040