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22312020320 = 2552329320693
BaseRepresentation
bin10100110001111001…
…100110100101100000
32010120222000001212222
4110301321212211200
5331143334122240
614130000010212
71416625020632
oct246171464540
963528001788
1022312020320
11950a610117
1243a8300968
13214769b0b5
1411193a2a52
158a8c13eb5
hex531e66960

22312020320 has 96 divisors (see below), whose sum is σ = 55194374592. Its totient is φ = 8507226112.

The previous prime is 22312020293. The next prime is 22312020337. The reversal of 22312020320 is 2302021322.

It is a super-3 number, since 3×223120203203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1067894 + ... + 1088586.

It is an arithmetic number, because the mean of its divisors is an integer number (574941402).

Almost surely, 222312020320 is an apocalyptic number.

22312020320 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 22312020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597187296).

22312020320 is an abundant number, since it is smaller than the sum of its proper divisors (32882354272).

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

22312020320 is a wasteful number, since it uses less digits than its factorization.

22312020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21024 (or 21016 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22312020320 its reverse (2302021322), we get a palindrome (24614041642).

The spelling of 22312020320 in words is "twenty-two billion, three hundred twelve million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 293 368 460 586 736 920 1172 1465 1840 2344 2930 3680 4688 5860 6739 9376 11720 13478 20693 23440 26956 33695 41386 46880 53912 67390 82772 103465 107824 134780 165544 206930 215648 269560 331088 413860 475939 539120 662176 827720 951878 1078240 1655440 1903756 2379695 3310880 3807512 4759390 6063049 7615024 9518780 12126098 15230048 19037560 24252196 30315245 38075120 48504392 60630490 76150240 97008784 121260980 139450127 194017568 242521960 278900254 485043920 557800508 697250635 970087840 1115601016 1394501270 2231202032 2789002540 4462404064 5578005080 11156010160 22312020320