Search a number
-
+
4223232224 = 25417145337
BaseRepresentation
bin1111101110111001…
…0110100011100000
3101220022202102111022
43323232112203200
532122121412344
61535022305012
7206440611251
oct37356264340
911808672438
104223232224
1118779a4972
1299a428168
13523c513a3
142c0c62b28
1519ab6d0ee
hexfbb968e0

4223232224 has 48 divisors (see below), whose sum is σ = 8637433056. Its totient is φ = 2031052800.

The previous prime is 4223232217. The next prime is 4223232227. The reversal of 4223232224 is 4222323224.

It is a junction number, because it is equal to n+sod(n) for n = 4223232193 and 4223232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223232227) 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, 70484 + ... + 115820.

It is an arithmetic number, because the mean of its divisors is an integer number (179946522).

Almost surely, 24223232224 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 4223232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318716528).

4223232224 is an abundant number, since it is smaller than the sum of its proper divisors (4414200832).

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

4223232224 is a wasteful number, since it uses less digits than its factorization.

4223232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45459 (or 45451 counting only the distinct ones).

The product of its digits is 9216, while the sum is 26.

The square root of 4223232224 is about 64986.4003003705. The cubic root of 4223232224 is about 1616.3980614336.

Adding to 4223232224 its reverse (4222323224), we get a palindrome (8445555448).

The spelling of 4223232224 in words is "four billion, two hundred twenty-three million, two hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 71 82 142 164 284 328 568 656 1136 1312 2272 2911 5822 11644 23288 45337 46576 90674 93152 181348 362696 725392 1450784 1858817 3218927 3717634 6437854 7435268 12875708 14870536 25751416 29741072 51502832 59482144 103005664 131976007 263952014 527904028 1055808056 2111616112 4223232224