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22534214220 = 22325742174241
BaseRepresentation
bin10100111111001001…
…001101001001001100
32011011110002200121200
4110333021031021030
5332122224323340
614204014225500
71425263442360
oct247711151114
964143080550
1022534214220
119613a81741
12444a7b5290
13218172628b
14113aac12a0
158bd4a4330
hex53f24d24c

22534214220 has 144 divisors (see below), whose sum is σ = 78155558208. Its totient is φ = 5148241920.

The previous prime is 22534214179. The next prime is 22534214267. The reversal of 22534214220 is 2241243522.

22534214220 is a `hidden beast` number, since 225 + 3 + 4 + 214 + 220 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5311300 + ... + 5315540.

It is an arithmetic number, because the mean of its divisors is an integer number (542746932).

Almost surely, 222534214220 is an apocalyptic number.

22534214220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22534214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39077779104).

22534214220 is an abundant number, since it is smaller than the sum of its proper divisors (55621343988).

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

22534214220 is a wasteful number, since it uses less digits than its factorization.

22534214220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8475 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22534214220 its reverse (2241243522), we get a palindrome (24775457742).

The spelling of 22534214220 in words is "twenty-two billion, five hundred thirty-four million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 4217 4241 8434 8482 12651 12723 16868 16964 21085 21205 25302 25446 29519 29687 37953 38169 42170 42410 50604 50892 59038 59374 63255 63615 75906 76338 84340 84820 88557 89061 118076 118748 126510 127230 147595 148435 151812 152676 177114 178122 189765 190845 253020 254460 265671 267183 295190 296870 354228 356244 379530 381690 442785 445305 531342 534366 590380 593740 759060 763380 885570 890610 1062684 1068732 1328355 1335915 1771140 1781220 2656710 2671830 5313420 5343660 17884297 35768594 53652891 71537188 89421485 107305782 125190079 160958673 178842970 214611564 250380158 268264455 321917346 357685940 375570237 500760316 536528910 625950395 643834692 751140474 804793365 1073057820 1126710711 1251900790 1502280948 1609586730 1877851185 2253421422 2503801580 3219173460 3755702370 4506842844 5633553555 7511404740 11267107110 22534214220