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21220032200 = 2352199296011
BaseRepresentation
bin10011110000110011…
…111111111011001000
32000202212020022210112
4103300303333323020
5321424312012300
613425350533452
71350565204043
oct236063777310
960685208715
1021220032200
118aaa1782a4
124142667288
132002394093
14105434bc5a
15842e11e35
hex4f0cffec8

21220032200 has 96 divisors (see below), whose sum is σ = 51997788000. Its totient is φ = 8031283200.

The previous prime is 21220032193. The next prime is 21220032227. The reversal of 21220032200 is 223002212.

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, 3527195 + ... + 3533205.

It is an arithmetic number, because the mean of its divisors is an integer number (541643625).

Almost surely, 221220032200 is an apocalyptic number.

21220032200 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 21220032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998894000).

21220032200 is an abundant number, since it is smaller than the sum of its proper divisors (30777755800).

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

21220032200 is a wasteful number, since it uses less digits than its factorization.

21220032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 21220032200 its reverse (223002212), we get a palindrome (21443034412).

The spelling of 21220032200 in words is "twenty-one billion, two hundred twenty million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 929 950 1858 1900 3716 3800 4645 6011 7432 9290 12022 17651 18580 23225 24044 30055 35302 37160 46450 48088 60110 70604 88255 92900 114209 120220 141208 150275 176510 185800 228418 240440 300550 353020 441275 456836 571045 601100 706040 882550 913672 1142090 1202200 1765100 2284180 2855225 3530200 4568360 5584219 5710450 11168438 11420900 22336876 22841800 27921095 44673752 55842190 106100161 111684380 139605475 212200322 223368760 279210950 424400644 530500805 558421900 848801288 1061001610 1116843800 2122003220 2652504025 4244006440 5305008050 10610016100 21220032200