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22233222012 = 22329711316869
BaseRepresentation
bin10100101101001101…
…000000101101111100
32010101110201200221010
4110231031000231330
5331013201101022
614114103035220
71414650161151
oct245515005574
963343650833
1022233222012
11947a08a851
124385a3bb10
13213426b991
14110cb30228
158a1d4b50c
hex52d340b7c

22233222012 has 96 divisors (see below), whose sum is σ = 54845683200. Its totient is φ = 6999865600.

The previous prime is 22233221971. The next prime is 22233222017. The reversal of 22233222012 is 21022233222.

It is a super-2 number, since 2×222332220122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22233222012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22233222017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3233314 + ... + 3240182.

It is an arithmetic number, because the mean of its divisors is an integer number (571309200).

Almost surely, 222233222012 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 22233222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27422841600).

22233222012 is an abundant number, since it is smaller than the sum of its proper divisors (32612461188).

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

22233222012 is a wasteful number, since it uses less digits than its factorization.

22233222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22233222012 its reverse (21022233222), we get a palindrome (43255455234).

The spelling of 22233222012 in words is "twenty-two billion, two hundred thirty-three million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 131 142 174 213 262 284 348 393 426 524 786 852 1572 2059 3799 4118 6177 6869 7598 8236 9301 11397 12354 13738 15196 18602 20607 22794 24708 27476 27903 37204 41214 45588 55806 82428 111612 199201 269729 398402 487699 539458 597603 796804 809187 899839 975398 1078916 1195206 1463097 1618374 1799678 1950796 2390412 2699517 2926194 3236748 3599356 5399034 5852388 10798068 14143271 26095331 28286542 42429813 52190662 56573084 63888569 78285993 84859626 104381324 127777138 156571986 169719252 191665707 255554276 313143972 383331414 766662828 1852768501 3705537002 5558305503 7411074004 11116611006 22233222012