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23220011024 = 247255753173
BaseRepresentation
bin10101101000000001…
…010100000000010000
32012221020112202222022
4111220001110000100
5340023310323044
614400033231012
71451261560100
oct255001240020
965836482868
1023220011024
1199360aaa61
124600402468
1322608318c2
1411a3bdd200
1590d7bd3ee
hex568054010

23220011024 has 60 divisors (see below), whose sum is σ = 52428819564. Its totient is φ = 9933380352.

The previous prime is 23220010997. The next prime is 23220011033. The reversal of 23220011024 is 42011002232.

It can be written as a sum of positive squares in 2 ways, for example, as 7202577424 + 16017433600 = 84868^2 + 126560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23220010993 and 23220011011.

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, 410102 + ... + 463274.

Almost surely, 223220011024 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 23220011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214409782).

23220011024 is an abundant number, since it is smaller than the sum of its proper divisors (29208808540).

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

23220011024 is a wasteful number, since it uses less digits than its factorization.

23220011024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53752 (or 53739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23220011024 its reverse (42011002232), we get a palindrome (65231013256).

The spelling of 23220011024 in words is "twenty-three billion, two hundred twenty million, eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 557 784 1114 2228 3899 4456 7798 8912 15596 27293 31192 53173 54586 62384 106346 109172 212692 218344 372211 425384 436688 744422 850768 1488844 2605477 2977688 5210954 5955376 10421908 20843816 29617361 41687632 59234722 118469444 207321527 236938888 414643054 473877776 829286108 1451250689 1658572216 2902501378 3317144432 5805002756 11610005512 23220011024