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22213012140132 = 22311974139419147
BaseRepresentation
bin1010000110011110111101…
…01100101011000001100100
32220122112200000020020201020
411003033132230223001210
510402414222101441012
6115124303352331140
74451560101603402
oct503173654530144
986575600206636
1022213012140132
117094538296540
1225a90449a3ab0
13c518a78c9978
1456b188dd8472
15287c28836a8c
hex1433deb2b064

22213012140132 has 96 divisors (see below), whose sum is σ = 57139060124160. Its totient is φ = 6660196408320.

The previous prime is 22213012140101. The next prime is 22213012140161. The reversal of 22213012140132 is 23104121031222.

It is a super-2 number, since 2×222130121401322 (a number of 27 digits) contains 22 as substring.

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, 52786183 + ... + 53205329.

It is an arithmetic number, because the mean of its divisors is an integer number (595198542960).

Almost surely, 222213012140132 is an apocalyptic number.

22213012140132 is a gapful number since it is divisible by the number (22) 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 22213012140132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28569530062080).

22213012140132 is an abundant number, since it is smaller than the sum of its proper divisors (34926047984028).

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

22213012140132 is a wasteful number, since it uses less digits than its factorization.

22213012140132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423401 (or 423399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 22213012140132 its reverse (23104121031222), we get a palindrome (45317133171354).

The spelling of 22213012140132 in words is "twenty-two trillion, two hundred thirteen billion, twelve million, one hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4139 4268 6402 8278 12417 12804 16556 24834 45529 49668 91058 136587 182116 273174 401483 419147 546348 802966 838294 1204449 1257441 1605932 1676588 2408898 2514882 4416313 4610617 4817796 5029764 8832626 9221234 13248939 13831851 17665252 18442468 26497878 27663702 40657259 52995756 55327404 81314518 121971777 162629036 243943554 447229849 487887108 894459698 1341689547 1734849433 1788919396 2683379094 3469698866 5204548299 5366758188 6939397732 10409096598 19083343763 20818193196 38166687526 57250031289 76333375052 114500062578 168280395001 229000125156 336560790002 504841185003 673121580004 1009682370006 1851084345011 2019364740012 3702168690022 5553253035033 7404337380044 11106506070066 22213012140132