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223224238112 = 25178
BaseRepresentation
bin1100111111100100110…
…0111001000000100000
3210100011212210012221112
43033321030321000200
512124130401104422
6250314154042452
722061463501011
oct3177114710040
9710155705845
10223224238112
118673a299017
1237319419428
13180859a0ac5
14ab386a1008
155c172c9ee2
hex33f9339020

223224238112 has 54 divisors (see below), whose sum is σ = 466939763703. Its totient is φ = 105046700288.

The previous prime is 223224238103. The next prime is 223224238141. The reversal of 223224238112 is 211832422322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 33271219216 + 189953018896 = 182404^2 + 435836^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334084.

It is a super-3 number, since 3×2232242381123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13130837528 + ... + 13130837544.

Almost surely, 2223224238112 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 223224238112

223224238112 is an abundant number, since it is smaller than the sum of its proper divisors (243715525591).

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

223224238112 is an frugal number, since it uses more digits than its factorization.

223224238112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 19 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Multiplying 223224238112 by its sum of digits (32), we get a square (7143175619584 = 26726722).

223224238112 divided by its sum of digits (32) gives a 8-th power (6975757441 = 178).

The spelling of 223224238112 in words is "two hundred twenty-three billion, two hundred twenty-four million, two hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 4913 9248 9826 19652 39304 78608 83521 157216 167042 334084 668168 1336336 1419857 2672672 2839714 5679428 11358856 22717712 24137569 45435424 48275138 96550276 193100552 386201104 410338673 772402208 820677346 1641354692 3282709384 6565418768 6975757441 13130837536 13951514882 27903029764 55806059528 111612119056 223224238112