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223113472 = 282941733
BaseRepresentation
bin11010100110001…
…11000100000000
3120112211100010221
431103013010000
5424104112342
634050032424
75346301411
oct1523070400
9515740127
10223113472
11104a3a4aa
1262878714
13372ba90a
14218bb808
15148c2a67
hexd4c7100

223113472 has 72 divisors (see below), whose sum is σ = 472593240. Its totient is φ = 104939520.

The previous prime is 223113469. The next prime is 223113481. The reversal of 223113472 is 274311322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 182358016 = 6384^2 + 13504^2 .

It is a super-3 number, since 3×2231134723 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304018 + ... + 304750.

It is an arithmetic number, because the mean of its divisors is an integer number (6563795).

Almost surely, 2223113472 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 223113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236296620).

223113472 is an abundant number, since it is smaller than the sum of its proper divisors (249479768).

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

223113472 is an equidigital number, since it uses as much as digits as its factorization.

223113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 805 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 223113472 is about 14936.9833634506. The cubic root of 223113472 is about 606.5155383054.

Adding to 223113472 its reverse (274311322), we get a palindrome (497424794).

The spelling of 223113472 in words is "two hundred twenty-three million, one hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 256 328 464 656 733 928 1189 1312 1466 1856 2378 2624 2932 3712 4756 5248 5864 7424 9512 10496 11728 19024 21257 23456 30053 38048 42514 46912 60106 76096 85028 93824 120212 152192 170056 187648 240424 304384 340112 480848 680224 871537 961696 1360448 1743074 1923392 2720896 3486148 3846784 5441792 6972296 7693568 13944592 27889184 55778368 111556736 223113472