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23222400422232 = 23311517117010953
BaseRepresentation
bin1010100011110111000101…
…11011011001000101011000
310001020001002000100211010010
411101323202323121011120
511020433434002002412
6121220120134321520
74614522505462314
oct521734273310530
9101201060324103
1023222400422232
1174436236a4760
1227307a6ab92a0
13cc5b2ac135cb
145a3d8224ab44
152a41043c633c
hex151ee2ed9158

23222400422232 has 64 divisors (see below), whose sum is σ = 63346070943360. Its totient is φ = 7035729747200.

The previous prime is 23222400422203. The next prime is 23222400422297.

It is a happy number.

23222400422232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23222400422232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7140333 + ... + 9870620.

It is an arithmetic number, because the mean of its divisors is an integer number (989782358490).

Almost surely, 223222400422232 is an apocalyptic number.

23222400422232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23222400422232 is an abundant number, since it is smaller than the sum of its proper divisors (40123670521128).

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

23222400422232 is a wasteful number, since it uses less digits than its factorization.

23222400422232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17016144 (or 17016140 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 23222400 and 422232, that added together give a palindrome (23644632).

The spelling of 23222400422232 in words is "twenty-three trillion, two hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5171 10342 15513 20684 31026 41368 56881 62052 113762 124104 170643 227524 341286 455048 682572 1365144 17010953 34021906 51032859 68043812 102065718 136087624 187120483 204131436 374240966 408262872 561361449 748481932 1122722898 1496963864 2245445796 4490891592 87963637963 175927275926 263890913889 351854551852 527781827778 703709103704 967600017593 1055563655556 1935200035186 2111127311112 2902800052779 3870400070372 5805600105558 7740800140744 11611200211116 23222400422232