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22001122022112 = 2532131583151029
BaseRepresentation
bin1010000000010100010010…
…00100000001001011100000
32212220021202000120222121100
411000022021010001023200
510340431244214201422
6114443101555554400
74430346212403312
oct500121104011340
985807660528540
1022001122022112
1170126948a4722
122573b6b2bba00
13c3790a1396cc
14560c07b3d7b2
152824765e97ac
hex1402891012e0

22001122022112 has 72 divisors (see below), whose sum is σ = 63043291551240. Its totient is φ = 7277724829440.

The previous prime is 22001122022111. The next prime is 22001122022167. The reversal of 22001122022112 is 21122022110022.

It is a happy number.

22001122022112 is a `hidden beast` number, since 2 + 200 + 11 + 220 + 221 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001122022111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291537787 + ... + 291613242.

It is an arithmetic number, because the mean of its divisors is an integer number (875601271545).

Almost surely, 222001122022112 is an apocalyptic number.

It is an amenable number.

22001122022112 is an abundant number, since it is smaller than the sum of its proper divisors (41042169529128).

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

22001122022112 is a wasteful number, since it uses less digits than its factorization.

22001122022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583151176 (or 583151165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22001122022112 its reverse (21122022110022), we get a palindrome (43123144132134).

It can be divided in two parts, 2200112 and 2022112, that added together give a palindrome (4222224).

The spelling of 22001122022112 in words is "twenty-two trillion, one billion, one hundred twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 583151029 1166302058 1749453087 2332604116 3498906174 4665208232 5248359261 6997812348 9330416464 10496718522 13995624696 18660832928 20993437044 27991249392 41986874088 55982498784 76392784799 83973748176 152785569598 167947496352 229178354397 305571139196 458356708794 611142278392 687535063191 916713417588 1222284556784 1375070126382 1833426835176 2444569113568 2750140252764 3666853670352 5500280505528 7333707340704 11000561011056 22001122022112