Search a number
-
+
4223330144 = 251115776421
BaseRepresentation
bin1111101110111010…
…1110011101100000
3101220022221101210222
43323232232131200
532122133031034
61535024342212
7206441466605
oct37356563540
911808841728
104223330144
111877a614a0
1299a474968
13523c86b27
142c0c8a6ac
1519ab8c12e
hexfbbae760

4223330144 has 48 divisors (see below), whose sum is σ = 9128455056. Its totient is φ = 1907443200.

The previous prime is 4223330143. The next prime is 4223330147. The reversal of 4223330144 is 4410333224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223330143) 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, 17054 + ... + 93474.

It is an arithmetic number, because the mean of its divisors is an integer number (190176147).

Almost surely, 24223330144 is an apocalyptic number.

4223330144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564227528).

4223330144 is an abundant number, since it is smaller than the sum of its proper divisors (4905124912).

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

4223330144 is a wasteful number, since it uses less digits than its factorization.

4223330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76599 (or 76591 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4223330144 is about 64987.1536844014. The cubic root of 4223330144 is about 1616.4105539564.

Adding to 4223330144 its reverse (4410333224), we get a palindrome (8633663368).

The spelling of 4223330144 in words is "four billion, two hundred twenty-three million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 157 176 314 352 628 1256 1727 2512 3454 5024 6908 13816 27632 55264 76421 152842 305684 611368 840631 1222736 1681262 2445472 3362524 6725048 11998097 13450096 23996194 26900192 47992388 95984776 131979067 191969552 263958134 383939104 527916268 1055832536 2111665072 4223330144