Search a number
-
+
21220212200 = 23521110619091
BaseRepresentation
bin10011110000110100…
…101011110111101000
32000202212120110201012
4103300310223313220
5321424333242300
613425354443052
71350566553605
oct236064536750
960685513635
1021220212200
118aaa290560
124142733488
132002427ca5
1410543976ac
15842e4a435
hex4f0d2bde8

21220212200 has 96 divisors (see below), whose sum is σ = 53878828320. Its totient is φ = 7708320000.

The previous prime is 21220212179. The next prime is 21220212217. The reversal of 21220212200 is 221202212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329655 + ... + 2338745.

It is an arithmetic number, because the mean of its divisors is an integer number (561237795).

Almost surely, 221220212200 is an apocalyptic number.

21220212200 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 21220212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939414160).

21220212200 is an abundant number, since it is smaller than the sum of its proper divisors (32658616120).

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

21220212200 is a wasteful number, since it uses less digits than its factorization.

21220212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21220212200 its reverse (221202212), we get a palindrome (21441414412).

The spelling of 21220212200 in words is "twenty-one billion, two hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1061 1100 2122 2200 4244 5305 8488 9091 10610 11671 18182 21220 23342 26525 36364 42440 45455 46684 53050 58355 72728 90910 93368 100001 106100 116710 181820 200002 212200 227275 233420 291775 363640 400004 454550 466840 500005 583550 800008 909100 1000010 1167100 1818200 2000020 2334200 2500025 4000040 5000050 9645551 10000100 19291102 20000200 38582204 48227755 77164408 96455510 106101061 192911020 212202122 241138775 385822040 424404244 482277550 530505305 848808488 964555100 1061010610 1929110200 2122021220 2652526525 4244042440 5305053050 10610106100 21220212200