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223114144 = 2511372463
BaseRepresentation
bin11010100110001…
…11001110100000
3120112211101001211
431103013032200
5424104123034
634050035504
75346303361
oct1523071640
9515741054
10223114144
11104a3aa60
1262878b94
13372bb006
14218bbb68
15148c2d64
hexd4c73a0

223114144 has 72 divisors (see below), whose sum is σ = 493553088. Its totient is φ = 98461440.

The previous prime is 223114141. The next prime is 223114183. The reversal of 223114144 is 441411322.

It is a happy number.

It is a super-3 number, since 3×2231141443 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (223114141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481657 + ... + 482119.

It is an arithmetic number, because the mean of its divisors is an integer number (6854904).

Almost surely, 2223114144 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 223114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246776544).

223114144 is an abundant number, since it is smaller than the sum of its proper divisors (270438944).

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

223114144 is a wasteful number, since it uses less digits than its factorization.

223114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 513 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 223114144 is about 14937.0058579355. The cubic root of 223114144 is about 606.5161472303.

Adding to 223114144 its reverse (441411322), we get a palindrome (664525466).

The spelling of 223114144 in words is "two hundred twenty-three million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 463 592 814 926 1184 1369 1628 1852 2738 3256 3704 5093 5476 6512 7408 10186 10952 13024 14816 15059 17131 20372 21904 30118 34262 40744 43808 60236 68524 81488 120472 137048 162976 188441 240944 274096 376882 481888 548192 633847 753764 1267694 1507528 2535388 3015056 5070776 6030112 6972317 10141552 13944634 20283104 27889268 55778536 111557072 223114144