Search a number
-
+
22068732288 = 273376797239
BaseRepresentation
bin10100100011011001…
…100010000110000000
32002222000012202110010
4110203121202012000
5330144043413123
614045505304520
71410612062241
oct244331420600
962860182403
1022068732288
1193a5251229
12433a935140
132109168795
1410d4d52cc8
158926a8993
hex523662180

22068732288 has 256 divisors, whose sum is σ = 61991193600. Its totient is φ = 6948716544.

The previous prime is 22068732271. The next prime is 22068732289. The reversal of 22068732288 is 88223786022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22068732289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92337673 + ... + 92337911.

It is an arithmetic number, because the mean of its divisors is an integer number (242153100).

Almost surely, 222068732288 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 22068732288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30995596800).

22068732288 is an abundant number, since it is smaller than the sum of its proper divisors (39922461312).

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

22068732288 is a wasteful number, since it uses less digits than its factorization.

22068732288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 22068732288 in words is "twenty-two billion, sixty-eight million, seven hundred thirty-two thousand, two hundred eighty-eight".