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23073230224 = 24114710127617
BaseRepresentation
bin10101011111010001…
…011000110110010000
32012120000100112120101
4111133101120312100
5334223221331344
614333311222144
71444530135532
oct253721306620
965500315511
1023073230224
119870267410
12457b217954
1322392bc065
14118c511852
159009779d4
hex55f458d90

23073230224 has 80 divisors (see below), whose sum is σ = 50300994816. Its totient is φ = 10162688000.

The previous prime is 23073230209. The next prime is 23073230227. The reversal of 23073230224 is 42203237032.

It is a junction number, because it is equal to n+sod(n) for n = 23073230192 and 23073230201.

It is not an unprimeable number, because it can be changed into a prime (23073230227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821664 + ... + 849280.

Almost surely, 223073230224 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 23073230224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25150497408).

23073230224 is an abundant number, since it is smaller than the sum of its proper divisors (27227764592).

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

23073230224 is a wasteful number, since it uses less digits than its factorization.

23073230224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27784 (or 27778 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

Adding to 23073230224 its reverse (42203237032), we get a palindrome (65276467256).

The spelling of 23073230224 in words is "twenty-three billion, seventy-three million, two hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 101 176 188 202 376 404 517 752 808 1034 1111 1616 2068 2222 4136 4444 4747 8272 8888 9494 17776 18988 27617 37976 52217 55234 75952 104434 110468 208868 220936 303787 417736 441872 607574 835472 1215148 1297999 2430296 2595998 2789317 4860592 5191996 5578634 10383992 11157268 14277989 20767984 22314536 28555978 30682487 44629072 57111956 61364974 114223912 122729948 131097899 228447824 245459896 262195798 490919792 524391596 1048783192 1442076889 2097566384 2884153778 5768307556 11536615112 23073230224