Search a number
-
+
8221974120 = 2333519400681
BaseRepresentation
bin1111010100001000…
…10101111001101000
3210020000002120011000
413222010111321220
5113314311132440
63435505235000
7410514425013
oct75204257150
923200076130
108221974120
11353a0a9938
121715632a60
13a10522259
1457dd6a37a
15331c45730
hex1ea115e68

8221974120 has 128 divisors (see below), whose sum is σ = 28849104000. Its totient is φ = 2077125120.

The previous prime is 8221974113. The next prime is 8221974133. The reversal of 8221974120 is 214791228.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179821 + ... + 220860.

It is an arithmetic number, because the mean of its divisors is an integer number (225383625).

Almost surely, 28221974120 is an apocalyptic number.

It is an amenable number.

8221974120 is an abundant number, since it is smaller than the sum of its proper divisors (20627129880).

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

8221974120 is a wasteful number, since it uses less digits than its factorization.

8221974120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400720 (or 400710 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8221974120 is about 90675.1019850543. The cubic root of 8221974120 is about 2018.3293476720.

The spelling of 8221974120 in words is "eight billion, two hundred twenty-one million, nine hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 400681 801362 1202043 1602724 2003405 2404086 3205448 3606129 4006810 4808172 6010215 7212258 7612939 8013620 9616344 10818387 12020430 14424516 15225878 16027240 18030645 21636774 22838817 24040860 28849032 30451756 36061290 38064695 43273548 45677634 48081720 54091935 60903512 68516451 72122580 76129390 86547096 91355268 108183870 114194085 137032902 144245160 152258780 182710536 205549353 216367740 228388170 274065804 304517560 342582255 411098706 432735480 456776340 548131608 685164510 822197412 913552680 1027746765 1370329020 1644394824 2055493530 2740658040 4110987060 8221974120