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22012022120 = 235111923114479
BaseRepresentation
bin10100100000000001…
…001100110101101000
32002211001111120201112
4110200001030311220
5330040034201440
614040122005452
71406323046414
oct244001146550
962731446645
1022012022120
119376238020
124323946888
1320ca4a107a
1410cb5cdd44
1588c705965
hex52004cd68

22012022120 has 128 divisors (see below), whose sum is σ = 59346432000. Its totient is φ = 7253326080.

The previous prime is 22012022119. The next prime is 22012022167. The reversal of 22012022120 is 2122021022.

It is a super-2 number, since 2×220120221202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22012022095 and 22012022104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135041 + ... + 249519.

It is an arithmetic number, because the mean of its divisors is an integer number (463644000).

Almost surely, 222012022120 is an apocalyptic number.

22012022120 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 22012022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29673216000).

22012022120 is an abundant number, since it is smaller than the sum of its proper divisors (37334409880).

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

22012022120 is a wasteful number, since it uses less digits than its factorization.

22012022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114543 (or 114539 counting only the distinct ones).

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

Adding to 22012022120 its reverse (2122021022), we get a palindrome (24134043142).

The spelling of 22012022120 in words is "twenty-two billion, twelve million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 23 38 40 44 46 55 76 88 92 95 110 115 152 184 190 209 220 230 253 380 418 437 440 460 506 760 836 874 920 1012 1045 1265 1672 1748 2024 2090 2185 2530 3496 4180 4370 4807 5060 8360 8740 9614 10120 17480 19228 24035 38456 48070 96140 114479 192280 228958 457916 572395 915832 1144790 1259269 2175101 2289580 2518538 2633017 4350202 4579160 5037076 5266034 6296345 8700404 10074152 10532068 10875505 12592690 13165085 17400808 21064136 21751010 23926111 25185380 26330170 28963187 43502020 47852222 50027323 50370760 52660340 57926374 87004040 95704444 100054646 105320680 115852748 119630555 144815935 191408888 200109292 231705496 239261110 250136615 289631870 400218584 478522220 500273230 550300553 579263740 957044440 1000546460 1100601106 1158527480 2001092920 2201202212 2751502765 4402404424 5503005530 11006011060 22012022120