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11106228 = 22371091213
BaseRepresentation
bin101010010111…
…011110110100
3202220020212210
4222113132310
510320344403
61034013420
7163254450
oct52273664
922806783
1011106228
1162a6301
123877270
1323bb243
141691660
15e95b03
hexa977b4

11106228 has 48 divisors (see below), whose sum is σ = 29912960. Its totient is φ = 3141504.

The previous prime is 11106223. The next prime is 11106229. The reversal of 11106228 is 82260111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11106223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550 + ... + 9762.

Almost surely, 211106228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14956480).

11106228 is an abundant number, since it is smaller than the sum of its proper divisors (18806732).

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

11106228 is a wasteful number, since it uses less digits than its factorization.

11106228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11106228 is about 3332.6007861729. The cubic root of 11106228 is about 223.1116227494. Note that the first 3 decimals are identical.

Adding to 11106228 its reverse (82260111), we get a palindrome (93366339).

The spelling of 11106228 in words is "eleven million, one hundred six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1213 1308 1526 2289 2426 3052 3639 4578 4852 7278 8491 9156 14556 16982 25473 33964 50946 101892 132217 264434 396651 528868 793302 925519 1586604 1851038 2776557 3702076 5553114 11106228