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872223000 = 233531126431
BaseRepresentation
bin110011111111010…
…001000100011000
32020210020112000120
4303333101010120
53241242114000
6222314433240
730420526125
oct6377210430
92223215016
10872223000
11408390060
12204132820
1310b91c4ac
1483ba974c
15518916a0
hex33fd1118

872223000 has 128 divisors (see below), whose sum is σ = 2968842240. Its totient is φ = 211440000.

The previous prime is 872222999. The next prime is 872223007. The reversal of 872223000 is 322278.

872223000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872223007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19785 + ... + 46215.

It is an arithmetic number, because the mean of its divisors is an integer number (23194080).

Almost surely, 2872223000 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 872223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484421120).

872223000 is an abundant number, since it is smaller than the sum of its proper divisors (2096619240).

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

872223000 is a wasteful number, since it uses less digits than its factorization.

872223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26466 (or 26452 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 872223000 is about 29533.4217455411. The cubic root of 872223000 is about 955.4526695507.

Adding to 872223000 its reverse (322278), we get a palindrome (872545278).

The spelling of 872223000 in words is "eight hundred seventy-two million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 26431 33000 52862 79293 105724 132155 158586 211448 264310 290741 317172 396465 528620 581482 634344 660775 792930 872223 1057240 1162964 1321550 1453705 1585860 1744446 1982325 2325928 2643100 2907410 3171720 3303875 3488892 3964650 4361115 5286200 5814820 6607750 6977784 7268525 7929300 8722230 9911625 11629640 13215500 14537050 15858600 17444460 19823250 21805575 26431000 29074100 34888920 36342625 39646500 43611150 58148200 72685250 79293000 87222300 109027875 145370500 174444600 218055750 290741000 436111500 872223000