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23213300 = 22521147449
BaseRepresentation
bin101100010001…
…1010011110100
31121200100122212
41120203103310
521420311200
62145312552
7401211155
oct130432364
947610585
1023213300
1112115550
127935758
134a69ba6
14312392c
152088035
hex16234f4

23213300 has 72 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 8243200.

The previous prime is 23213297. The next prime is 23213303. The reversal of 23213300 is 331232.

It is an interprime number because it is at equal distance from previous prime (23213297) and next prime (23213303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51476 + ... + 51924.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 223213300 is an apocalyptic number.

23213300 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 23213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

23213300 is an abundant number, since it is smaller than the sum of its proper divisors (33033100).

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

23213300 is a wasteful number, since it uses less digits than its factorization.

23213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 23213300 is about 4818.0182648056. The cubic root of 23213300 is about 285.2631200914.

Adding to 23213300 its reverse (331232), we get a palindrome (23544532).

The spelling of 23213300 in words is "twenty-three million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 449 470 517 550 898 940 1034 1100 1175 1796 2068 2245 2350 2585 4490 4700 4939 5170 8980 9878 10340 11225 12925 19756 21103 22450 24695 25850 42206 44900 49390 51700 84412 98780 105515 123475 211030 232133 246950 422060 464266 493900 527575 928532 1055150 1160665 2110300 2321330 4642660 5803325 11606650 23213300