Search a number
-
+
20220312212200 = 2352271602961879
BaseRepresentation
bin1001001100011111010001…
…00001101101001011101000
32122121001011022202111000201
410212033220201231023220
510122242144411242300
6111001025545241544
74154604120644302
oct446175041551350
978531138674021
1020220312212200
116496428112971
1223269b97932b4
13b389c8893089
144dc94dc96972
15250e9b69866a
hex1263e886d2e8

20220312212200 has 96 divisors (see below), whose sum is σ = 47194291872000. Its totient is φ = 8056812614400.

The previous prime is 20220312212197. The next prime is 20220312212239. The reversal of 20220312212200 is 221221302202.

It is a super-2 number, since 2×202203122122002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326740861 + ... + 326802739.

It is an arithmetic number, because the mean of its divisors is an integer number (491607207000).

Almost surely, 220220312212200 is an apocalyptic number.

20220312212200 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 20220312212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597145936000).

20220312212200 is an abundant number, since it is smaller than the sum of its proper divisors (26973979659800).

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

20220312212200 is a wasteful number, since it uses less digits than its factorization.

20220312212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68195 (or 68186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20220312212200 its reverse (221221302202), we get a palindrome (20441533514402).

The spelling of 20220312212200 in words is "twenty trillion, two hundred twenty billion, three hundred twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271 542 1084 1355 2168 2710 5420 6029 6775 10840 12058 13550 24116 27100 30145 48232 54200 60290 61879 120580 123758 150725 241160 247516 301450 309395 495032 602900 618790 1205800 1237580 1546975 1633859 2475160 3093950 3267718 6187900 6535436 8169295 12375800 13070872 16338590 16769209 32677180 33538418 40846475 65354360 67076836 81692950 83846045 134153672 163385900 167692090 326771800 335384180 373068491 419230225 670768360 746136982 838460450 1492273964 1676920900 1865342455 2984547928 3353841800 3730684910 7461369820 9326712275 14922739640 18653424550 37306849100 74613698200 101101561061 202203122122 404406244244 505507805305 808812488488 1011015610610 2022031221220 2527539026525 4044062442440 5055078053050 10110156106100 20220312212200