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222022022100102 = 2327127124211117031
BaseRepresentation
bin110010011110110110000111…
…110000100111010010000110
31002010010002122110102000022100
4302132312013300213102012
5213100102100124200402
62104111301530412530
764523363452530120
oct6236660760472206
91063102573360270
10222022022100102
116481a0134119a4
1220a99431b91146
1396b67823c6233
143cb7ccd3c6210
151aa048044971c
hexc9ed87c27486

222022022100102 has 96 divisors (see below), whose sum is σ = 554142810783744. Its totient is φ = 62930253153600.

The previous prime is 222022022100101. The next prime is 222022022100121. The reversal of 222022022100102 is 201001220220222.

222022022100102 is a `hidden beast` number, since 2 + 220 + 220 + 2 + 210 + 0 + 10 + 2 = 666.

222022022100102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (222022022100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198202327 + ... + 199319357.

It is an arithmetic number, because the mean of its divisors is an integer number (5772320945664).

Almost surely, 2222022022100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222022022100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277071405391872).

222022022100102 is an abundant number, since it is smaller than the sum of its proper divisors (332120788683642).

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

222022022100102 is a wasteful number, since it uses less digits than its factorization.

222022022100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129594 (or 1129591 counting only the distinct ones).

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

Adding to 222022022100102 its reverse (201001220220222), we get a palindrome (423023242320324).

The spelling of 222022022100102 in words is "two hundred twenty-two trillion, twenty-two billion, twenty-two million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 12421 16002 24842 37263 74526 86947 111789 173894 223578 260841 521682 782523 1117031 1565046 1577467 2234062 3154934 3351093 4732401 6702186 7819217 9464802 10053279 11042269 14197203 15638434 20106558 22084538 23457651 28394406 33126807 46915302 66253614 70372953 99380421 140745906 141862937 198760842 283725874 425588811 851177622 993040559 1276766433 1986081118 2553532866 2979121677 5958243354 8937365031 13874642051 17874730062 27749284102 41623926153 83247852306 97122494357 124871778459 194244988714 249743556918 291367483071 582734966142 874102449213 1748204898426 1762079540477 3524159080954 5286238621431 10572477242862 12334556783339 15858715864293 24669113566678 31717431728586 37003670350017 74007340700034 111011011050051 222022022100102