Search a number
-
+
872221020 = 2235111737639
BaseRepresentation
bin110011111111010…
…000100101011100
32020210020102022020
4303333100211130
53241242033040
6222314420140
730420520266
oct6377204534
92223212266
10872221020
11408389620
12204131650
1310b91b618
1483ba8b36
1551890cd0
hex33fd095c

872221020 has 96 divisors (see below), whose sum is σ = 2679989760. Its totient is φ = 210197760.

The previous prime is 872220983. The next prime is 872221043. The reversal of 872221020 is 20122278.

It is a happy number.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 110361 + ... + 117999.

It is an arithmetic number, because the mean of its divisors is an integer number (27916560).

Almost surely, 2872221020 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 872221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339994880).

872221020 is an abundant number, since it is smaller than the sum of its proper divisors (1807768740).

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

872221020 is a wasteful number, since it uses less digits than its factorization.

872221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7833 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 872221020 is about 29533.3882241777. The cubic root of 872221020 is about 955.4519465713.

Adding to 872221020 its reverse (20122278), we get a palindrome (892343298).

The spelling of 872221020 in words is "eight hundred seventy-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 7639 9515 10380 11418 15278 19030 22836 22917 28545 30556 38060 38195 45834 57090 76390 84029 91668 114180 114585 152780 168058 229170 252087 336116 420145 458340 504174 840290 1008348 1260435 1321547 1680580 2520870 2643094 3964641 5041740 5286188 6607735 7929282 13215470 14537017 15858564 19823205 26430940 29074034 39646410 43611051 58148068 72685085 79292820 87222102 145370170 174444204 218055255 290740340 436110510 872221020