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20522313252 = 223574916143
BaseRepresentation
bin10011000111001110…
…011010011000100100
31221222020100112100000
4103013032122120210
5314012203011002
613232224221300
71324363533030
oct230716323044
957866315300
1020522313252
118781346771
123b88a6a830
131c2097302c
14dc98091c0
15801a4061c
hex4c739a624

20522313252 has 144 divisors (see below), whose sum is σ = 61617733632. Its totient is φ = 5850623520.

The previous prime is 20522313241. The next prime is 20522313277. The reversal of 20522313252 is 25231322502.

20522313252 is a `hidden beast` number, since 2 + 0 + 522 + 3 + 132 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3337693 + ... + 3343835.

It is an arithmetic number, because the mean of its divisors is an integer number (427900928).

Almost surely, 220522313252 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 20522313252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808866816).

20522313252 is an abundant number, since it is smaller than the sum of its proper divisors (41095420380).

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

20522313252 is a wasteful number, since it uses less digits than its factorization.

20522313252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6660 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 20522313252 its reverse (25231322502), we get a palindrome (45753635754).

The spelling of 20522313252 in words is "twenty billion, five hundred twenty-two million, three hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 491 567 756 972 982 1134 1473 1701 1964 2268 2946 3402 3437 4419 5892 6143 6804 6874 8838 10311 12286 13257 13748 17676 18429 20622 24572 26514 30933 36858 39771 41244 43001 53028 55287 61866 73716 79542 86002 92799 110574 119313 123732 129003 159084 165861 172004 185598 221148 238626 258006 278397 331722 371196 387009 477252 497583 516012 556794 663444 774018 835191 995166 1113588 1161027 1492749 1548036 1670382 1990332 2322054 2985498 3016213 3340764 3483081 4644108 5970996 6032426 6966162 9048639 10449243 12064852 13932324 18097278 20898486 21113491 27145917 36194556 41796972 42226982 54291834 63340473 81437751 84453964 108583668 126680946 162875502 190021419 244313253 253361892 325751004 380042838 488626506 570064257 732939759 760085676 977253012 1140128514 1465879518 1710192771 2280257028 2931759036 3420385542 5130578313 6840771084 10261156626 20522313252