Search a number
-
+
23323000200 = 23352148726141
BaseRepresentation
bin10101101110001010…
…001011110110001000
32020012102100011120020
4111232022023312020
5340231142001300
614414152500440
71453652142063
oct255612136610
966172304506
1023323000200
119989253285
12462a9aa720
132278c80b46
1411b376b8da
159178638a0
hex56e28bd88

23323000200 has 96 divisors (see below), whose sum is σ = 72352690560. Its totient is φ = 6215046400.

The previous prime is 23323000199. The next prime is 23323000237. The reversal of 23323000200 is 200032332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23323000200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 879130 + ... + 905270.

It is an arithmetic number, because the mean of its divisors is an integer number (753673860).

Almost surely, 223323000200 is an apocalyptic number.

23323000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23323000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36176345280).

23323000200 is an abundant number, since it is smaller than the sum of its proper divisors (49029690360).

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

23323000200 is a wasteful number, since it uses less digits than its factorization.

23323000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27647 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23323000200 its reverse (200032332), we get a palindrome (23523032532).

The spelling of 23323000200 in words is "twenty-three billion, three hundred twenty-three million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1487 2974 4461 5948 7435 8922 11896 14870 17844 22305 26141 29740 35688 37175 44610 52282 59480 74350 78423 89220 104564 111525 130705 148700 156846 178440 209128 223050 261410 297400 313692 392115 446100 522820 627384 653525 784230 892200 1045640 1307050 1568460 1960575 2614100 3136920 3921150 5228200 7842300 15684600 38871667 77743334 116615001 155486668 194358335 233230002 310973336 388716670 466460004 583075005 777433340 932920008 971791675 1166150010 1554866680 1943583350 2332300020 2915375025 3887166700 4664600040 5830750050 7774333400 11661500100 23323000200