Search a number
-
+
23224404320 = 2551364117419
BaseRepresentation
bin10101101000010010…
…000100100101100000
32012221112210222102222
4111220102010211200
5340030421414240
614400311330212
71451344115405
oct255022044540
965845728388
1023224404320
119938630787
124601980968
13226170c4a0
1411a46242ac
1590dd89eb5
hex568484960

23224404320 has 96 divisors (see below), whose sum is σ = 59183822880. Its totient is φ = 8561295360.

The previous prime is 23224404319. The next prime is 23224404443. The reversal of 23224404320 is 2340442232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23224404320.

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, 1324571 + ... + 1341989.

It is an arithmetic number, because the mean of its divisors is an integer number (616498155).

Almost surely, 223224404320 is an apocalyptic number.

23224404320 is a gapful number since it is divisible by the number (20) 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 23224404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29591911440).

23224404320 is an abundant number, since it is smaller than the sum of its proper divisors (35959418560).

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

23224404320 is a wasteful number, since it uses less digits than its factorization.

23224404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18088 (or 18080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 23224404320 its reverse (2340442232), we get a palindrome (25564846552).

The spelling of 23224404320 in words is "twenty-three billion, two hundred twenty-four million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 641 1040 1282 2080 2564 3205 5128 6410 8333 10256 12820 16666 17419 20512 25640 33332 34838 41665 51280 66664 69676 83330 87095 102560 133328 139352 166660 174190 226447 266656 278704 333320 348380 452894 557408 666640 696760 905788 1132235 1333280 1393520 1811576 2264470 2787040 3623152 4528940 7246304 9057880 11165579 18115760 22331158 36231520 44662316 55827895 89324632 111655790 145152527 178649264 223311580 290305054 357298528 446623160 580610108 725762635 893246320 1161220216 1451525270 1786492640 2322440432 2903050540 4644880864 5806101080 11612202160 23224404320