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22103223132 = 223172921117707
BaseRepresentation
bin10100100101011101…
…000110101101011100
32010001102010001222210
4110211131012231130
5330231411120012
614053140440420
71411511203524
oct244535065534
963042101883
1022103223132
119412769761
12434a3a9110
132113353873
1410d9770684
1589571d23c
hex525746b5c

22103223132 has 96 divisors (see below), whose sum is σ = 56761931520. Its totient is φ = 6663121920.

The previous prime is 22103223101. The next prime is 22103223137. The reversal of 22103223132 is 23132230122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22103223099 and 22103223108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103223137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239423 + ... + 1257129.

It is an arithmetic number, because the mean of its divisors is an integer number (591270120).

Almost surely, 222103223132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22103223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28380965760).

22103223132 is an abundant number, since it is smaller than the sum of its proper divisors (34658708388).

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

22103223132 is a wasteful number, since it uses less digits than its factorization.

22103223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17971 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22103223132 its reverse (23132230122), we get a palindrome (45235453254).

The spelling of 22103223132 in words is "twenty-two billion, one hundred three million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 211 348 422 493 633 844 986 1266 1479 1972 2532 2958 3587 5916 6119 7174 10761 12238 14348 17707 18357 21522 24476 35414 36714 43044 53121 70828 73428 104023 106242 208046 212484 301019 312069 416092 513503 602038 624138 903057 1027006 1204076 1248276 1540509 1806114 2054012 3081018 3612228 3736177 6162036 7472354 8729551 11208531 14944708 17459102 22417062 26188653 34918204 44834124 52377306 63515009 104754612 108349133 127030018 190545027 216698266 254060036 325047399 381090054 433396532 650094798 762180108 1300189596 1841935261 3683870522 5525805783 7367741044 11051611566 22103223132