Search a number
-
+
22340406000 = 24353112314717
BaseRepresentation
bin10100110011100101…
…111000101011110000
32010122221102012201110
4110303211320223300
5331223120443000
614132452233320
71420421214003
oct246345705360
963587365643
1022340406000
119524638760
1243b590b840
132150529363
14111d07153a
158ab46e850
hex533978af0

22340406000 has 320 divisors, whose sum is σ = 81995037696. Its totient is φ = 5180032000.

The previous prime is 22340405999. The next prime is 22340406013. The reversal of 22340406000 is 60404322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1510642 + ... + 1525358.

Almost surely, 222340406000 is an apocalyptic number.

22340406000 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 22340406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997518848).

22340406000 is an abundant number, since it is smaller than the sum of its proper divisors (59654631696).

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

22340406000 is a wasteful number, since it uses less digits than its factorization.

22340406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14777 (or 14761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The spelling of 22340406000 in words is "twenty-two billion, three hundred forty million, four hundred six thousand".