Search a number
-
+
23323300 = 225271113233
BaseRepresentation
bin101100011111…
…0001010100100
31121212221112221
41120332022210
521432321200
62151522124
7402146650
oct130761244
947787487
1023323300
1112190160
127989344
134aa7c90
143151a60
1520aa91a
hex163e2a4

23323300 has 144 divisors (see below), whose sum is σ = 68245632. Its totient is φ = 6681600.

The previous prime is 23323297. The next prime is 23323331. The reversal of 23323300 is 332332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99984 + ... + 100216.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 223323300 is an apocalyptic number.

23323300 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 23323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122816).

23323300 is an abundant number, since it is smaller than the sum of its proper divisors (44922332).

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

23323300 is a wasteful number, since it uses less digits than its factorization.

23323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 23323300 is about 4829.4202550617. The cubic root of 23323300 is about 285.7129988037.

Adding to 23323300 its reverse (332332), we get a palindrome (23655632).

It can be divided in two parts, 233 and 23300, that multiplied together give a square (5428900 = 23302).

The spelling of 23323300 in words is "twenty-three million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 233 260 275 286 308 325 350 364 385 455 466 550 572 650 700 715 770 910 932 1001 1100 1165 1300 1430 1540 1631 1820 1925 2002 2275 2330 2563 2860 3029 3262 3575 3850 4004 4550 4660 5005 5126 5825 6058 6524 7150 7700 8155 9100 10010 10252 11650 12116 12815 14300 15145 16310 17941 20020 21203 23300 25025 25630 30290 32620 33319 35882 40775 42406 50050 51260 60580 64075 66638 71764 75725 81550 84812 89705 100100 106015 128150 133276 151450 163100 166595 179410 212030 233233 256300 302900 333190 358820 424060 448525 466466 530075 666380 832975 897050 932932 1060150 1166165 1665950 1794100 2120300 2332330 3331900 4664660 5830825 11661650 23323300