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23222400032 = 25131071573323
BaseRepresentation
bin10101101000001010…
…011011010000100000
32012221102001011002002
4111220022123100200
5340024413300112
614400200343132
71451321100116
oct255012332040
965842034062
1023222400032
119937491947
124601174aa8
13226118a110
1411a4261ab6
1590dae11c2
hex56829b420

23222400032 has 96 divisors (see below), whose sum is σ = 50027689152. Its totient is φ = 10547057664.

The previous prime is 23222400011. The next prime is 23222400067. The reversal of 23222400032 is 23000422232.

It is a junction number, because it is equal to n+sod(n) for n = 23222399977 and 23222400013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6986723 + ... + 6990045.

It is an arithmetic number, because the mean of its divisors is an integer number (521121762).

Almost surely, 223222400032 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 23222400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25013844576).

23222400032 is an abundant number, since it is smaller than the sum of its proper divisors (26805289120).

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

23222400032 is a wasteful number, since it uses less digits than its factorization.

23222400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23222400032 its reverse (23000422232), we get a palindrome (46222822264).

The spelling of 23222400032 in words is "twenty-three billion, two hundred twenty-two million, four hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 157 208 214 314 416 428 628 856 1256 1391 1712 2041 2512 2782 3323 3424 4082 5024 5564 6646 8164 11128 13292 16328 16799 22256 26584 32656 33598 43199 44512 53168 65312 67196 86398 106336 134392 172796 218387 268784 345592 355561 436774 521711 537568 691184 711122 873548 1043422 1382368 1422244 1747096 2086844 2844488 3494192 4173688 4622293 5688976 6782243 6988384 8347376 9244586 11377952 13564486 16694752 18489172 27128972 36978344 54257944 55823077 73956688 108515888 111646154 147913376 217031776 223292308 446584616 725700001 893169232 1451400002 1786338464 2902800004 5805600008 11611200016 23222400032