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4223442330 = 233537569743
BaseRepresentation
bin1111101110111100…
…1001110110011010
3101220100011002201000
43323233021312122
532122200123310
61535031005430
7206442444642
oct37357116632
911810132630
104223442330
111878028808
1299a509876
13523cc5c03
142c0cb9522
1519abb04c0
hexfbbc9d9a

4223442330 has 128 divisors (see below), whose sum is σ = 11602828800. Its totient is φ = 1092413952.

The previous prime is 4223442319. The next prime is 4223442331. The reversal of 4223442330 is 332443224.

4223442330 is a `hidden beast` number, since 4 + 2 + 234 + 423 + 3 + 0 = 666.

It is a super-2 number, since 2×42234423302 = 35674930229671657800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4223442294 and 4223442303.

It is not an unprimeable number, because it can be changed into a prime (4223442331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5683939 + ... + 5684681.

It is an arithmetic number, because the mean of its divisors is an integer number (90647100).

Almost surely, 24223442330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223442330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801414400).

4223442330 is an abundant number, since it is smaller than the sum of its proper divisors (7379386470).

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

4223442330 is a wasteful number, since it uses less digits than its factorization.

4223442330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4223442330 is about 64988.0168184874. The cubic root of 4223442330 is about 1616.4248662820.

Adding to 4223442330 its reverse (332443224), we get a palindrome (4555885554).

The spelling of 4223442330 in words is "four billion, two hundred twenty-three million, four hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 569 666 743 999 1110 1138 1486 1665 1707 1998 2229 2845 3330 3414 3715 4458 4995 5121 5690 6687 7430 8535 9990 10242 11145 13374 15363 17070 20061 21053 22290 25605 27491 30726 33435 40122 42106 51210 54982 63159 66870 76815 82473 100305 105265 126318 137455 153630 164946 189477 200610 210530 247419 274910 315795 378954 412365 422767 494838 568431 631590 742257 824730 845534 947385 1136862 1237095 1268301 1484514 1894770 2113835 2474190 2536602 2842155 3711285 3804903 4227670 5684310 6341505 7422570 7609806 11414709 12683010 15642379 19024515 22829418 31284758 38049030 46927137 57073545 78211895 93854274 114147090 140781411 156423790 234635685 281562822 422344233 469271370 703907055 844688466 1407814110 2111721165 4223442330