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11223828 = 22327114049
BaseRepresentation
bin101010110100…
…001100010100
3210010020012100
4222310030110
510333130303
61040322100
7164254350
oct52641424
923106170
1011223828
1163766a0
123913330
13242c925
1416c2460
15eba8a3
hexab4314

11223828 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2914560.

The previous prime is 11223811. The next prime is 11223857. The reversal of 11223828 is 82832211.

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, 748 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 211223828 is an apocalyptic number.

11223828 is a gapful number since it is divisible by the number (18) 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 11223828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

11223828 is an abundant number, since it is smaller than the sum of its proper divisors (24156972).

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

11223828 is a wasteful number, since it uses less digits than its factorization.

11223828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4072 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11223828 is about 3350.1982030919. The cubic root of 11223828 is about 223.8963434091.

It can be divided in two parts, 1122 and 3828, that added together give a triangular number (4950 = T99).

The spelling of 11223828 in words is "eleven million, two hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 4049 8098 12147 16196 24294 28343 36441 44539 48588 56686 72882 85029 89078 113372 133617 145764 170058 178156 255087 267234 311773 340116 400851 510174 534468 623546 801702 935319 1020348 1247092 1603404 1870638 2805957 3741276 5611914 11223828