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23153364 = 22341323239
BaseRepresentation
bin101100001010…
…0101011010100
31121120022110000
41120110223110
521411401424
62144131300
7400541343
oct130245324
947508400
1023153364
1112084513
127906b30
134a48820
143109b5a
1520753c9
hex1614ad4

23153364 has 120 divisors (see below), whose sum is σ = 68302080. Its totient is φ = 6785856.

The previous prime is 23153359. The next prime is 23153401. The reversal of 23153364 is 46335132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96757 + ... + 96995.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 223153364 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 23153364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

23153364 is an abundant number, since it is smaller than the sum of its proper divisors (45148716).

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

23153364 is a wasteful number, since it uses less digits than its factorization.

23153364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 23153364 is about 4811.7942599409. The cubic root of 23153364 is about 285.0173950601.

Adding to 23153364 its reverse (46335132), we get a palindrome (69488496).

The spelling of 23153364 in words is "twenty-three million, one hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 239 276 299 324 351 414 468 478 598 621 702 717 828 897 956 1053 1196 1242 1404 1434 1794 1863 2106 2151 2484 2691 2868 3107 3588 3726 4212 4302 5382 5497 6214 6453 7452 8073 8604 9321 10764 10994 12428 12906 16146 16491 18642 19359 21988 24219 25812 27963 32292 32982 37284 38718 48438 49473 55926 65964 71461 77436 83889 96876 98946 111852 142922 148419 167778 197892 214383 251667 285844 296838 335556 428766 445257 503334 593676 643149 857532 890514 1006668 1286298 1781028 1929447 2572596 3858894 5788341 7717788 11576682 23153364