Search a number
-
+
22038651936 = 2533731414761
BaseRepresentation
bin10100100001100110…
…110010010000100000
32002212220121111222000
4110201212302100200
5330113343330221
614042512444000
71410065310360
oct244146622040
962786544860
1022038651936
11938a276434
124330849600
132102b66062
1410d0d629a0
1588ec15e26
hex5219b2420

22038651936 has 768 divisors, whose sum is σ = 80634839040. Its totient is φ = 5723136000.

The previous prime is 22038651871. The next prime is 22038651953. The reversal of 22038651936 is 63915683022.

22038651936 is a `hidden beast` number, since 2 + 20 + 3 + 86 + 519 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22038651891 and 22038651900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 361289346 + ... + 361289406.

It is an arithmetic number, because the mean of its divisors is an integer number (104993280).

Almost surely, 222038651936 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 22038651936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40317419520).

22038651936 is an abundant number, since it is smaller than the sum of its proper divisors (58596187104).

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

22038651936 is a wasteful number, since it uses less digits than its factorization.

22038651936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22038651936 in words is "twenty-two billion, thirty-eight million, six hundred fifty-one thousand, nine hundred thirty-six".