Search a number
-
+
2197570212 = 22321743113739
BaseRepresentation
bin1000001011111100…
…0100001010100100
312200011010010121100
42002333010022210
514000034221322
61002021320100
7105313016145
oct20277041244
95604103540
102197570212
11a28520032
12513b66030
13290390706
1416bc07acc
15ccddbdac
hex82fc42a4

2197570212 has 144 divisors (see below), whose sum is σ = 6079993920. Its totient is φ = 666537984.

The previous prime is 2197570189. The next prime is 2197570223. The reversal of 2197570212 is 2120757912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2973339 + ... + 2974077.

It is an arithmetic number, because the mean of its divisors is an integer number (42222180).

Almost surely, 22197570212 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 2197570212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039996960).

2197570212 is an abundant number, since it is smaller than the sum of its proper divisors (3882423708).

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

2197570212 is a wasteful number, since it uses less digits than its factorization.

2197570212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 2197570212 is about 46878.2488154154. The cubic root of 2197570212 is about 1300.1124581215.

The spelling of 2197570212 in words is "two billion, one hundred ninety-seven million, five hundred seventy thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 113 129 153 172 204 226 258 306 339 387 452 516 612 678 731 739 774 1017 1356 1462 1478 1548 1921 2034 2193 2217 2924 2956 3842 4068 4386 4434 4859 5763 6579 6651 7684 8772 8868 9718 11526 12563 13158 13302 14577 17289 19436 23052 25126 26316 26604 29154 31777 34578 37689 43731 50252 58308 63554 69156 75378 82603 83507 87462 95331 113067 127108 150756 165206 167014 174924 190662 226134 247809 250521 285993 330412 334028 381324 452268 495618 501042 540209 571986 743427 751563 991236 1002084 1080418 1143972 1419619 1486854 1503126 1620627 2160836 2839238 2973708 3006252 3241254 3590801 4258857 4861881 5678476 6482508 7181602 8517714 9723762 10772403 12776571 14363204 17035428 19447524 21544806 25553142 32317209 43089612 51106284 61043617 64634418 122087234 129268836 183130851 244174468 366261702 549392553 732523404 1098785106 2197570212