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22021203300 = 223521719227257
BaseRepresentation
bin10100100000100100…
…001110010101100100
32002211200210000221020
4110200210032111210
5330044412001200
614041050451140
71406464065615
oct244044162544
962750700836
1022021203300
119380438a78
124326a33ab0
1320cc367015
1410cc8ddc0c
1588d41aea0
hex52090e564

22021203300 has 144 divisors (see below), whose sum is σ = 71013579840. Its totient is φ = 5235978240.

The previous prime is 22021203299. The next prime is 22021203353. The reversal of 22021203300 is 330212022.

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 22021203300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16729 + ... + 210528.

It is an arithmetic number, because the mean of its divisors is an integer number (493149860).

Almost surely, 222021203300 is an apocalyptic number.

22021203300 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 22021203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35506789920).

22021203300 is an abundant number, since it is smaller than the sum of its proper divisors (48992376540).

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

22021203300 is a wasteful number, since it uses less digits than its factorization.

22021203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227310 (or 227303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22021203300 its reverse (330212022), we get a palindrome (22351415322).

The spelling of 22021203300 in words is "twenty-two billion, twenty-one million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 32300 48450 96900 227257 454514 681771 909028 1136285 1363542 2272570 2727084 3408855 3863369 4317883 4545140 5681425 6817710 7726738 8635766 11362850 11590107 12953649 13635420 15453476 17044275 17271532 19316845 21589415 22725700 23180214 25907298 34088550 38633690 43178830 46360428 51814596 57950535 64768245 68177100 73404011 77267380 86357660 96584225 107947075 115901070 129536490 146808022 193168450 215894150 220212033 231802140 259072980 289752675 293616044 323841225 367020055 386336900 431788300 440424066 579505350 647682450 734040110 880848132 1101060165 1159010700 1295364900 1468080220 1835100275 2202120330 3670200550 4404240660 5505300825 7340401100 11010601650 22021203300