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11272212 = 22327411091
BaseRepresentation
bin101011000000…
…000000010100
3210012200120100
4223000000110
510341202322
61041334100
7164545410
oct53000024
923180510
1011272212
1163a9a86
123937330
132448963
1416d5d40
15ec9dac
hexac0014

11272212 has 72 divisors (see below), whose sum is σ = 33388992. Its totient is φ = 3139200.

The previous prime is 11272211. The next prime is 11272229. The reversal of 11272212 is 21227211.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9787 + ... + 10877.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 211272212 is an apocalyptic number.

11272212 is a gapful number since it is divisible by the number (12) 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 11272212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16694496).

11272212 is an abundant number, since it is smaller than the sum of its proper divisors (22116780).

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

11272212 is a wasteful number, since it uses less digits than its factorization.

11272212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 11272212 is about 3357.4115029290. The cubic root of 11272212 is about 224.2176084727.

Adding to 11272212 its reverse (21227211), we get a palindrome (32499423).

The spelling of 11272212 in words is "eleven million, two hundred seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1091 1148 1476 1722 2182 2583 3273 3444 4364 5166 6546 7637 9819 10332 13092 15274 19638 22911 30548 39276 44731 45822 68733 89462 91644 134193 137466 178924 268386 274932 313117 402579 536772 626234 805158 939351 1252468 1610316 1878702 2818053 3757404 5636106 11272212