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10102224222 = 23267101197421
BaseRepresentation
bin10010110100010001…
…11011010101011110
3222002001010011101200
421122020323111132
5131142132133342
64350233420330
7505225326516
oct113210732536
928061104350
1010102224222
114314495642
121b5b26a6a6
13c4cc2c48c
146bb972846
153e1d5194c
hex25a23b55e

10102224222 has 96 divisors (see below), whose sum is σ = 22602232224. Its totient is φ = 3259872000.

The previous prime is 10102224217. The next prime is 10102224229. The reversal of 10102224222 is 22242220101.

10102224222 is a `hidden beast` number, since 10 + 10 + 222 + 422 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10102224195 and 10102224204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102224229) 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, 23995572 + ... + 23995992.

It is an arithmetic number, because the mean of its divisors is an integer number (235439919).

Almost surely, 210102224222 is an apocalyptic number.

10102224222 is an abundant number, since it is smaller than the sum of its proper divisors (12500008002).

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

10102224222 is a wasteful number, since it uses less digits than its factorization.

10102224222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 791 counting only the distinct ones).

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

Adding to 10102224222 its reverse (22242220101), we get a palindrome (32344444323).

The spelling of 10102224222 in words is "ten billion, one hundred two million, two hundred twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 67 101 134 197 201 202 303 394 402 421 591 603 606 842 909 1182 1206 1263 1773 1818 2526 3546 3789 6767 7578 13199 13534 19897 20301 26398 28207 39597 39794 40602 42521 56414 59691 60903 79194 82937 84621 85042 118791 119382 121806 127563 165874 169242 179073 237582 248811 253863 255126 358146 382689 497622 507726 746433 765378 1333099 1492866 2666198 2848907 3999297 5556779 5697814 7998594 8376637 8546721 11113558 11997891 16670337 16753274 17093442 23995782 25129911 25640163 33340674 50011011 50259822 51280326 75389733 100022022 150779466 561234679 1122469358 1683704037 3367408074 5051112111 10102224222