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22100020212 = 223234710511621
BaseRepresentation
bin10100100101010000…
…111000101111110100
32010001012002100102010
4110211100320233310
5330230101121322
614052544044220
71411442033544
oct244520705764
963035070363
1022100020212
119410981316
124349303670
1321127a1a4a
1410d9179324
158952d920c
hex525438bf4

22100020212 has 96 divisors (see below), whose sum is σ = 55039832064. Its totient is φ = 6885648000.

The previous prime is 22100020177. The next prime is 22100020231. The reversal of 22100020212 is 21202000122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13632762 + ... + 13634382.

It is an arithmetic number, because the mean of its divisors is an integer number (573331584).

Almost surely, 222100020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27519916032).

22100020212 is an abundant number, since it is smaller than the sum of its proper divisors (32939811852).

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

22100020212 is a wasteful number, since it uses less digits than its factorization.

22100020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22100020212 its reverse (21202000122), we get a palindrome (43302020334).

The spelling of 22100020212 in words is "twenty-two billion, one hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1051 1081 1621 2102 2162 3153 3242 3243 4204 4324 4863 6306 6484 6486 9726 12612 12972 19452 24173 37283 48346 49397 72519 74566 76187 96692 98794 111849 145038 148191 149132 152374 197588 223698 228561 290076 296382 304748 447396 457122 592764 914244 1136131 1703671 1752301 2272262 3407342 3408393 3504602 4544524 5111013 5256903 6814684 6816786 7009204 10222026 10513806 13633572 20444052 21027612 39184433 78368866 80072537 117553299 156737732 160145074 235106598 240217611 320290148 470213196 480435222 960870444 1841668351 3683336702 5525005053 7366673404 11050010106 22100020212