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23913216 = 283297107
BaseRepresentation
bin101101100111…
…0001100000000
31122222220202200
41123032030000
522110210331
62212313200
7410154555
oct133161400
948886680
1023913216
1112553398
128012800
134c53642
143266a2c
1521755e6
hex16ce300

23913216 has 108 divisors (see below), whose sum is σ = 70309512. Its totient is φ = 7815168.

The previous prime is 23913187. The next prime is 23913223. The reversal of 23913216 is 61231932.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23913216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223435 + ... + 223541.

It is an arithmetic number, because the mean of its divisors is an integer number (651014).

Almost surely, 223913216 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 23913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154756).

23913216 is an abundant number, since it is smaller than the sum of its proper divisors (46396296).

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

23913216 is a wasteful number, since it uses less digits than its factorization.

23913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 23913216 is about 4890.1141090981. The cubic root of 23913216 is about 288.1018158529.

The spelling of 23913216 in words is "twenty-three million, nine hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 107 128 144 192 194 214 256 288 291 321 384 388 428 576 582 642 768 776 856 873 963 1152 1164 1284 1552 1712 1746 1926 2304 2328 2568 3104 3424 3492 3852 4656 5136 6208 6848 6984 7704 9312 10272 10379 12416 13696 13968 15408 18624 20544 20758 24832 27392 27936 30816 31137 37248 41088 41516 55872 61632 62274 74496 82176 83032 93411 111744 123264 124548 166064 186822 223488 246528 249096 332128 373644 498192 664256 747288 996384 1328512 1494576 1992768 2657024 2989152 3985536 5978304 7971072 11956608 23913216