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22211234032 = 24132113891301
BaseRepresentation
bin10100101011111001…
…001000100011110000
32010022221100121002111
4110223321020203300
5330442033442112
614111555455104
71414262242231
oct245371104360
963287317074
1022211234032
119468731969
12437a5b7494
13212c840740
141109c49088
1589ee565a7
hex52be488f0

22211234032 has 80 divisors (see below), whose sum is σ = 46719822240. Its totient is φ = 10168704000.

The previous prime is 22211233999. The next prime is 22211234053. The reversal of 22211234032 is 23043211222.

It is a junction number, because it is equal to n+sod(n) for n = 22211233994 and 22211234012.

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, 17071782 + ... + 17073082.

It is an arithmetic number, because the mean of its divisors is an integer number (583997778).

Almost surely, 222211234032 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 22211234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359911120).

22211234032 is an abundant number, since it is smaller than the sum of its proper divisors (24508588208).

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

22211234032 is a wasteful number, since it uses less digits than its factorization.

22211234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22211234032 its reverse (23043211222), we get a palindrome (45254445254).

The spelling of 22211234032 in words is "twenty-two billion, two hundred eleven million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 211 389 422 778 844 1301 1556 1688 2602 2743 3112 3376 5057 5204 5486 6224 10114 10408 10972 16913 20228 20816 21944 33826 40456 43888 67652 80912 82079 135304 164158 270608 274511 328316 506089 549022 656632 1012178 1067027 1098044 1313264 2024356 2134054 2196088 3568643 4048712 4268108 4392176 6579157 7137286 8097424 8536216 13158314 14274572 17072432 26316628 28549144 52633256 57098288 105266512 106784779 213569558 427139116 854278232 1388202127 1708556464 2776404254 5552808508 11105617016 22211234032