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21222002002200 = 23352191861579123
BaseRepresentation
bin1001101001101001000011…
…11001000000100100011000
32210010210200210211010121120
410310310201321000210120
510240200130003032300
6113045130402005240
74320144664452636
oct464644171004430
983123623733546
1021222002002200
11684222296801a
122468b71646820
13bac2c2c71b4c
145352168c8356
1526c0764483a0
hex134d21e40918

21222002002200 has 96 divisors (see below), whose sum is σ = 69250743412800. Its totient is φ = 5361347871360.

The previous prime is 21222002002199. The next prime is 21222002002207. The reversal of 21222002002200 is 220020022212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21222002002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222002002207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 930778162 + ... + 930800961.

It is an arithmetic number, because the mean of its divisors is an integer number (721361910550).

Almost surely, 221222002002200 is an apocalyptic number.

21222002002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222002002200 is an abundant number, since it is smaller than the sum of its proper divisors (48028741410600).

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

21222002002200 is a wasteful number, since it uses less digits than its factorization.

21222002002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861579161 (or 1861579152 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21222002002200 its reverse (220020022212), we get a palindrome (21442022024412).

The spelling of 21222002002200 in words is "twenty-one trillion, two hundred twenty-two billion, two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1861579123 3723158246 5584737369 7446316492 9307895615 11169474738 14892632984 18615791230 22338949476 27923686845 35370003337 37231582460 44677898952 46539478075 55847373690 70740006674 74463164920 93078956150 106110010011 111694747380 139618434225 141480013348 176850016685 186157912300 212220020022 223389494760 279236868450 282960026696 353700033370 372315824600 424440040044 530550050055 558473736900 707400066740 848880080088 884250083425 1061100100110 1116947473800 1414800133480 1768500166850 2122200200220 2652750250275 3537000333700 4244400400440 5305500500550 7074000667400 10611001001100 21222002002200