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11223540 = 22325232711
BaseRepresentation
bin101010110100…
…000111110100
3210010012210200
4222310013310
510333123130
61040320500
7164253456
oct52640764
923105720
1011223540
116376459
123913130
13242c763
1416c22d6
15eba760
hexab41f4

11223540 has 72 divisors (see below), whose sum is σ = 35538048. Its totient is φ = 2861760.

The previous prime is 11223539. The next prime is 11223557. The reversal of 11223540 is 4532211.

11223540 is a `hidden beast` number, since 1 + 122 + 3 + 540 = 666.

11223540 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 is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2785 + ... + 5495.

It is an arithmetic number, because the mean of its divisors is an integer number (493584).

Almost surely, 211223540 is an apocalyptic number.

11223540 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 11223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769024).

11223540 is an abundant number, since it is smaller than the sum of its proper divisors (24314508).

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

11223540 is a wasteful number, since it uses less digits than its factorization.

11223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11223540 is about 3350.1552202846. The cubic root of 11223540 is about 223.8944283554.

Adding to 11223540 its reverse (4532211), we get a palindrome (15755751).

The spelling of 11223540 in words is "eleven million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2711 4140 5422 8133 10844 13555 16266 24399 27110 32532 40665 48798 54220 62353 81330 97596 121995 124706 162660 187059 243990 249412 311765 374118 487980 561177 623530 748236 935295 1122354 1247060 1870590 2244708 2805885 3741180 5611770 11223540