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22422444100 = 22527217269177
BaseRepresentation
bin10100111000011110…
…110101100001000100
32010212122210011211121
4110320132311201010
5331410121202400
614144542443324
71422435426100
oct247036654104
963778704747
1022422444100
119566981141
124419293544
132164521304
141129d08900
158b377721a
hex5387b5844

22422444100 has 108 divisors (see below), whose sum is σ = 59930328276. Its totient is φ = 7235450880.

The previous prime is 22422444091. The next prime is 22422444221. The reversal of 22422444100 is 144422422.

It can be written as a sum of positive squares in 6 ways, for example, as 1026946116 + 21395497984 = 32046^2 + 146272^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51289 + ... + 217888.

It is an arithmetic number, because the mean of its divisors is an integer number (554910447).

Almost surely, 222422444100 is an apocalyptic number.

22422444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422444100 is an abundant number, since it is smaller than the sum of its proper divisors (37507884176).

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

22422444100 is a wasteful number, since it uses less digits than its factorization.

22422444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269222 (or 269208 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22422444100 its reverse (144422422), we get a palindrome (22566866522).

It can be divided in two parts, 224224 and 44100, that added together give a square (268324 = 5182).

The spelling of 22422444100 in words is "twenty-two billion, four hundred twenty-two million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 49 50 68 70 85 98 100 119 140 170 175 196 238 245 340 350 425 476 490 595 700 833 850 980 1190 1225 1666 1700 2380 2450 2975 3332 4165 4900 5950 8330 11900 16660 20825 41650 83300 269177 538354 1076708 1345885 1884239 2691770 3768478 4576009 5383540 6729425 7536956 9152018 9421195 13189673 13458850 18304036 18842390 22880045 26379346 26917700 32032063 37684780 45760090 47105975 52758692 64064126 65948365 91520180 94211950 114400225 128128252 131896730 160160315 188423900 224224441 228800450 263793460 320320630 329741825 448448882 457600900 640641260 659483650 800801575 896897764 1121122205 1318967300 1601603150 2242244410 3203206300 4484488820 5605611025 11211222050 22422444100