Search a number
-
+
300022211112220 = 225434757809128399
BaseRepresentation
bin100010000110111100101110…
…1010100010110110100011100
31110100021211202202001222212001
41010031321131110112310130
5303311030442021042340
62542032145005252044
7120123614036014222
oct10415713524266434
91410254682058761
10300022211112220
1187661783678913
1229796393564024
13cb53c85c01c7c
14541321c64cb12
1524a43ed78e29a
hex110de5d516d1c

300022211112220 has 96 divisors (see below), whose sum is σ = 658432406016000. Its totient is φ = 114721102562304.

The previous prime is 300022211112209. The next prime is 300022211112259. The reversal of 300022211112220 is 22211112220003.

It is a congruent number.

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, 2336575581 + ... + 2336703979.

It is an arithmetic number, because the mean of its divisors is an integer number (6858670896000).

Almost surely, 2300022211112220 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 300022211112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329216203008000).

300022211112220 is an abundant number, since it is smaller than the sum of its proper divisors (358410194903780).

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

300022211112220 is a wasteful number, since it uses less digits than its factorization.

300022211112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186307 (or 186305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 300022211112220 its reverse (22211112220003), we get a palindrome (322233323332223).

The spelling of 300022211112220 in words is "three hundred trillion, twenty-two billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 47 86 94 172 188 215 235 430 470 860 940 2021 4042 8084 10105 20210 40420 57809 115618 128399 231236 256798 289045 513596 578090 641995 1156180 1283990 2485787 2567980 2717023 4971574 5434046 5521157 6034753 9943148 10868092 11042314 12069506 12428935 13585115 22084628 24139012 24857870 27170230 27605785 30173765 49715740 54340460 55211570 60347530 110423140 116831989 120695060 233663978 259494379 467327956 518988758 584159945 1037977516 1168319890 1297471895 2336639780 2594943790 5189887580 7422617791 14845235582 29690471164 37113088955 74226177910 148452355820 319172565013 348863036177 638345130026 697726072354 1276690260052 1395452144708 1595862825065 1744315180885 3191725650130 3488630361770 6383451300260 6977260723540 15001110555611 30002221111222 60004442222444 75005552778055 150011105556110 300022211112220