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11320224 = 253373187
BaseRepresentation
bin101011001011…
…101110100000
3210022010102120
4223023232200
510344221344
61042344240
7165135366
oct53135640
923263376
1011320224
116432063
12395b080
132464776
141709636
15ed9219
hexacbba0

11320224 has 48 divisors (see below), whose sum is σ = 30528288. Its totient is φ = 3670272.

The previous prime is 11320213. The next prime is 11320229. The reversal of 11320224 is 42202311.

11320224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (11320229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1959 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (636006).

Almost surely, 211320224 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 11320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15264144).

11320224 is an abundant number, since it is smaller than the sum of its proper divisors (19208064).

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

11320224 is a wasteful number, since it uses less digits than its factorization.

11320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11320224 is about 3364.5540566322. The cubic root of 11320224 is about 224.5354960301.

Adding to 11320224 its reverse (42202311), we get a palindrome (53522535).

The spelling of 11320224 in words is "eleven million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3187 3552 6374 9561 12748 19122 25496 38244 50992 76488 101984 117919 152976 235838 305952 353757 471676 707514 943352 1415028 1886704 2830056 3773408 5660112 11320224