Search a number
-
+
22966427232 = 2533719267157
BaseRepresentation
bin10101011000111001…
…111101111001100000
32012021120101101102000
4111120321331321200
5334013401132412
614314534124000
71442062260540
oct253071757140
965246341360
1022966427232
119815a49781
12454b4b0600
132220135c18
14117c26d320
158e63cc4dc
hex558e7de60

22966427232 has 576 divisors, whose sum is σ = 82524234240. Its totient is φ = 6084688896.

The previous prime is 22966427173. The next prime is 22966427273. The reversal of 22966427232 is 23272466922.

22966427232 is a `hidden beast` number, since 2 + 296 + 64 + 272 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (870912) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146282898 + ... + 146283054.

It is an arithmetic number, because the mean of its divisors is an integer number (143271240).

Almost surely, 222966427232 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 22966427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41262117120).

22966427232 is an abundant number, since it is smaller than the sum of its proper divisors (59557807008).

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

22966427232 is a wasteful number, since it uses less digits than its factorization.

22966427232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 255 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 22966427232 in words is "twenty-two billion, nine hundred sixty-six million, four hundred twenty-seven thousand, two hundred thirty-two".