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23041120224 = 25323324421
BaseRepresentation
bin10101011101010110…
…111001011111100000
32012110202221011221010
4111131112321133200
5334142011321344
614330203100520
71443660201423
oct253526713740
965422834833
1023041120224
119854125721
124570511740
132232758865
1411881539ba
158ecc338b9
hex55d5b97e0

23041120224 has 72 divisors (see below), whose sum is σ = 60757377912. Its totient is φ = 7645680640.

The previous prime is 23041120213. The next prime is 23041120229. The reversal of 23041120224 is 42202114032.

It is a self number, because there is not a number n which added to its sum of digits gives 23041120224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23041120229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5209534 + ... + 5213954.

It is an arithmetic number, because the mean of its divisors is an integer number (843852471).

Almost surely, 223041120224 is an apocalyptic number.

23041120224 is a gapful number since it is divisible by the number (24) 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 23041120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30378688956).

23041120224 is an abundant number, since it is smaller than the sum of its proper divisors (37716257688).

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

23041120224 is an equidigital number, since it uses as much as digits as its factorization.

23041120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23041120224 its reverse (42202114032), we get a palindrome (65243234256).

The spelling of 23041120224 in words is "twenty-three billion, forty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 4421 5592 7456 8842 11184 13263 17684 22368 26526 35368 53052 54289 70736 106104 108578 141472 162867 212208 217156 325734 424416 434312 651468 868624 1030093 1302936 1737248 2060186 2605872 3090279 4120372 5211744 6180558 8240744 12361116 16481488 24722232 32962976 49444464 98888928 240011669 480023338 720035007 960046676 1440070014 1920093352 2880140028 3840186704 5760280056 7680373408 11520560112 23041120224