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23121216 = 2632137293
BaseRepresentation
bin101100000110…
…0110101000000
31121111200100100
41120030311000
521404334331
62143322400
7400345536
oct130146500
947450310
1023121216
1112062348
1278b0400
134a36cc1
1430dc156
15206aae6
hex160cd40

23121216 has 84 divisors (see below), whose sum is σ = 66984372. Its totient is φ = 7624704.

The previous prime is 23121209. The next prime is 23121247. The reversal of 23121216 is 61212132.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 4665600 = 4296^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

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, 78766 + ... + 79058.

It is an arithmetic number, because the mean of its divisors is an integer number (797433).

Almost surely, 223121216 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 23121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33492186).

23121216 is an abundant number, since it is smaller than the sum of its proper divisors (43863156).

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

23121216 is a wasteful number, since it uses less digits than its factorization.

23121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 435 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 23121216 is about 4808.4525577362. The cubic root of 23121216 is about 284.8854202385.

Adding to 23121216 its reverse (61212132), we get a palindrome (84333348).

The spelling of 23121216 in words is "twenty-three million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 293 411 548 576 586 822 879 1096 1172 1233 1644 1758 2192 2344 2466 2637 3288 3516 4384 4688 4932 5274 6576 7032 8768 9376 9864 10548 13152 14064 18752 19728 21096 26304 28128 39456 40141 42192 56256 78912 80282 84384 120423 160564 168768 240846 321128 361269 481692 642256 722538 963384 1284512 1445076 1926768 2569024 2890152 3853536 5780304 7707072 11560608 23121216