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11202268 = 2271137983
BaseRepresentation
bin101010101110…
…111011011100
3210002010121211
4222232323130
510331433033
61040034204
7164134450
oct52567334
923063554
1011202268
116361480
123902964
132422b7c
1416b8660
15eb42cd
hexaaeedc

11202268 has 48 divisors (see below), whose sum is σ = 25127424. Its totient is φ = 4242240.

The previous prime is 11202263. The next prime is 11202283. The reversal of 11202268 is 86220211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202263) 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, 10905 + ... + 11887.

It is an arithmetic number, because the mean of its divisors is an integer number (523488).

Almost surely, 211202268 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 11202268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563712).

11202268 is an abundant number, since it is smaller than the sum of its proper divisors (13925156).

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

11202268 is a wasteful number, since it uses less digits than its factorization.

11202268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11202268 is about 3346.9789362946. The cubic root of 11202268 is about 223.7528896977.

Adding to 11202268 its reverse (86220211), we get a palindrome (97422479).

The spelling of 11202268 in words is "eleven million, two hundred two thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 983 1036 1628 1966 2849 3932 5698 6881 10813 11396 13762 21626 27524 36371 43252 72742 75691 145484 151382 254597 302764 400081 509194 800162 1018388 1600324 2800567 5601134 11202268