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22022222112 = 2533112317153
BaseRepresentation
bin10100100000101000…
…000111000100100000
32002211202200210111000
4110200220013010200
5330100142101422
614041124352000
71406505541122
oct244050070440
962752623430
1022022222112
119380a74470
124327245600
1320cc632977
1410ccac7212
1588d56ccac
hex520a07120

22022222112 has 96 divisors (see below), whose sum is σ = 70070736960. Its totient is φ = 6673397760.

The previous prime is 22022222107. The next prime is 22022222119. The reversal of 22022222112 is 21122222022.

22022222112 is a `hidden beast` number, since 220 + 222 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (22022222119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149073 + ... + 1168080.

It is an arithmetic number, because the mean of its divisors is an integer number (729903510).

Almost surely, 222022222112 is an apocalyptic number.

22022222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22022222112 is an abundant number, since it is smaller than the sum of its proper divisors (48048514848).

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

22022222112 is a wasteful number, since it uses less digits than its factorization.

22022222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317183 (or 2317169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022222112 its reverse (21122222022), we get a palindrome (43144444134).

The spelling of 22022222112 in words is "twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 2317153 4634306 6951459 9268612 13902918 18537224 20854377 25488683 27805836 37074448 41708754 50977366 55611672 62563131 74148896 76466049 83417508 101954732 111223344 125126262 152932098 166835016 203909464 222446688 229398147 250252524 305864196 333670032 407818928 458796294 500505048 611728392 667340064 688194441 815637856 917592588 1001010096 1223456784 1376388882 1835185176 2002020192 2446913568 2752777764 3670370352 5505555528 7340740704 11011111056 22022222112