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22221011012202 = 232231812347126349
BaseRepresentation
bin1010000110101101110110…
…11101111100101001101010
32220200022022110112001101100
411003112323131330221222
510403032112304342302
6115132105212102230
74452262240105212
oct503267335745152
986608273461340
1022221011012202
117097972463512
1225aa6b7764976
13c52580b36572
1456b70748b242
15288045bacd1c
hex1435bb77ca6a

22221011012202 has 96 divisors (see below), whose sum is σ = 50538293769600. Its totient is φ = 7042758814080.

The previous prime is 22221011012159. The next prime is 22221011012209. The reversal of 22221011012202 is 20221011012222.

It is a happy number.

22221011012202 is a `hidden beast` number, since 222 + 210 + 1 + 10 + 1 + 220 + 2 = 666.

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 (22221011012209) 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, 175806924 + ... + 175933272.

It is an arithmetic number, because the mean of its divisors is an integer number (526440560100).

Almost surely, 222221011012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221011012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25269146884800).

22221011012202 is an abundant number, since it is smaller than the sum of its proper divisors (28317282757398).

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

22221011012202 is a wasteful number, since it uses less digits than its factorization.

22221011012202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128908 (or 128905 counting only the distinct ones).

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

Adding to 22221011012202 its reverse (20221011012222), we get a palindrome (42442022024424).

The spelling of 22221011012202 in words is "twenty-two trillion, two hundred twenty-one billion, eleven million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 362 414 543 1086 1629 2347 3258 4163 4694 7041 8326 12489 14082 21123 24978 37467 42246 53981 74934 107962 126349 161943 252698 323886 379047 424807 485829 758094 849614 971658 1137141 1274421 2274282 2548842 2906027 3823263 5812054 7646526 8718081 9770561 17436162 19541122 22869169 26154243 29311683 45738338 52308486 58623366 68607507 87935049 137215014 175870098 205822521 296541103 411645042 525990887 593082206 889623309 1051981774 1577972661 1779246618 2668869927 3155945322 4733917983 5337739854 6820445369 9467835966 13640890738 20461336107 40922672214 53673939643 61384008321 107347879286 122768016642 161021818929 322043637858 483065456787 966130913574 1234500611789 2469001223578 3703501835367 7407003670734 11110505506101 22221011012202