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23214912 = 263723751
BaseRepresentation
bin101100010001…
…1101101000000
31121200102212120
41120203231000
521420334122
62145324240
7401215650
oct130435500
947612776
1023214912
1112116786
127936680
134a6a846
143124360
15208875c
hex1623b40

23214912 has 112 divisors (see below), whose sum is σ = 73347072. Its totient is φ = 6336000.

The previous prime is 23214899. The next prime is 23214931. The reversal of 23214912 is 21941232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30537 + ... + 31287.

Almost surely, 223214912 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 23214912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36673536).

23214912 is an abundant number, since it is smaller than the sum of its proper divisors (50132160).

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

23214912 is a wasteful number, since it uses less digits than its factorization.

23214912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 23214912 is about 4818.1855505989. The cubic root of 23214912 is about 285.2697231093.

The spelling of 23214912 in words is "twenty-three million, two hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 751 966 1104 1288 1344 1472 1502 1932 2208 2253 2576 3004 3864 4416 4506 5152 5257 6008 7728 9012 10304 10514 12016 15456 15771 17273 18024 21028 24032 30912 31542 34546 36048 42056 48064 51819 63084 69092 72096 84112 103638 120911 126168 138184 144192 168224 207276 241822 252336 276368 336448 362733 414552 483644 504672 552736 725466 829104 967288 1009344 1105472 1450932 1658208 1934576 2901864 3316416 3869152 5803728 7738304 11607456 23214912