Search a number
-
+
28222992 = 243571761
BaseRepresentation
bin110101110101…
…0011000010000
31222002212200000
41223222120100
524211113432
62444530000
7461614530
oct153523020
958085600
1028222992
1114a27396
129550900
135b021c5
143a694c0
15272757c
hex1aea610

28222992 has 240 divisors, whose sum is σ = 100743552. Its totient is φ = 7464960.

The previous prime is 28222991. The next prime is 28223011. The reversal of 28222992 is 29922282.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (20736) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28222991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462642 + ... + 462702.

Almost surely, 228222992 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 28222992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776).

28222992 is an abundant number, since it is smaller than the sum of its proper divisors (72520560).

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

28222992 is a wasteful number, since it uses less digits than its factorization.

28222992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 28222992 is about 5312.5315999060. The cubic root of 28222992 is about 304.4628797964.

The spelling of 28222992 in words is "twenty-eight million, two hundred twenty-two thousand, nine hundred ninety-two".