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23396269332 = 22329537916057
BaseRepresentation
bin10101110010100001…
…101011110100010100
32020101112012121220210
4111302201223310110
5340403421104312
614425331125420
71455532002522
oct256241536424
966345177823
1023396269332
119a16647487
12464b443870
13228b1c5667
1411bd3a1312
1591ded7e3c
hex57286bd14

23396269332 has 96 divisors (see below), whose sum is σ = 58271270400. Its totient is φ = 7293791232.

The previous prime is 23396269327. The next prime is 23396269333.

23396269332 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23396269333) 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, 1449048 + ... + 1465104.

It is an arithmetic number, because the mean of its divisors is an integer number (606992400).

Almost surely, 223396269332 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 23396269332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29135635200).

23396269332 is an abundant number, since it is smaller than the sum of its proper divisors (34875001068).

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

23396269332 is a wasteful number, since it uses less digits than its factorization.

23396269332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16225 (or 16223 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 48.

The spelling of 23396269332 in words is "twenty-three billion, three hundred ninety-six million, two hundred sixty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 53 58 79 87 106 116 158 159 174 212 237 316 318 348 474 636 948 1537 2291 3074 4187 4582 4611 6148 6873 8374 9164 9222 12561 13746 16057 16748 18444 25122 27492 32114 48171 50244 64228 96342 121423 192684 242846 364269 465653 485692 728538 851021 931306 1268503 1396959 1457076 1702042 1862612 2537006 2553063 2793918 3404084 3805509 5074012 5106126 5587836 7611018 10212252 15222036 24679609 36786587 49359218 67230659 73573174 74038827 98718436 110359761 134461318 147146348 148077654 201691977 220719522 268922636 296155308 403383954 441439044 806767908 1949689111 3899378222 5849067333 7798756444 11698134666 23396269332