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11221400 = 2352192953
BaseRepresentation
bin101010110011…
…100110011000
3210010002212102
4222303212120
510333041100
61040302532
7164244311
oct52634630
923102772
1011221400
116374893
123911a48
13242b7a8
1416c1608
15eb9cd5
hexab3998

11221400 has 48 divisors (see below), whose sum is σ = 27472200. Its totient is φ = 4250880.

The previous prime is 11221393. The next prime is 11221417. The reversal of 11221400 is 412211.

11221400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324 + ... + 5276.

Almost surely, 211221400 is an apocalyptic number.

11221400 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 11221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13736100).

11221400 is an abundant number, since it is smaller than the sum of its proper divisors (16250800).

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

11221400 is a wasteful number, since it uses less digits than its factorization.

11221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11221400 is about 3349.8358168722. The cubic root of 11221400 is about 223.8801974166.

Adding to 11221400 its reverse (412211), we get a palindrome (11633611).

It can be divided in two parts, 112 and 21400, that added together give a palindrome (21512).

The spelling of 11221400 in words is "eleven million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2953 3800 5906 11812 14765 23624 29530 56107 59060 73825 112214 118120 147650 224428 280535 295300 448856 561070 590600 1122140 1402675 2244280 2805350 5610700 11221400