Search a number
-
+
23003323332 = 223111979116101
BaseRepresentation
bin10101011011000110…
…101101101111000100
32012101010210220100020
4111123012231233010
5334102322321312
614322333015140
71443021010413
oct253306555704
965333726306
1023003323332
11983485a320
12455b9244b0
132227983a32
14118311547a
158e976978c
hex55b1adbc4

23003323332 has 96 divisors (see below), whose sum is σ = 62416435200. Its totient is φ = 6520176000.

The previous prime is 23003323319. The next prime is 23003323349. The reversal of 23003323332 is 23332330032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140082 + ... + 256182.

It is an arithmetic number, because the mean of its divisors is an integer number (650171200).

Almost surely, 223003323332 is an apocalyptic number.

23003323332 is a gapful number since it is divisible by the number (22) 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 23003323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31208217600).

23003323332 is an abundant number, since it is smaller than the sum of its proper divisors (39413111868).

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

23003323332 is a wasteful number, since it uses less digits than its factorization.

23003323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116217 (or 116215 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 23003323332 its reverse (23332330032), we get a palindrome (46335653364).

The spelling of 23003323332 in words is "twenty-three billion, three million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 79 114 132 158 209 228 237 316 418 474 627 836 869 948 1254 1501 1738 2508 2607 3002 3476 4503 5214 6004 9006 10428 16511 18012 33022 49533 66044 99066 116101 198132 232202 348303 464404 696606 1277111 1393212 2205919 2554222 3831333 4411838 5108444 6617757 7662666 8823676 9171979 13235514 15325332 18343958 24265109 26471028 27515937 36687916 48530218 55031874 72795327 97060436 100891769 110063748 145590654 174267601 201783538 291181308 302675307 348535202 403567076 522802803 605350614 697070404 1045605606 1210701228 1916943611 2091211212 3833887222 5750830833 7667774444 11501661666 23003323332