Search a number
-
+
22864842 = 2357111347
BaseRepresentation
bin101011100111…
…0001111001010
31121000122200000
41113032033022
521323133332
62134023430
7365230230
oct127161712
947018600
1022864842
11119a7770
1277a7b76
1349773c0
143072950
152019b7c
hex15ce3ca

22864842 has 192 divisors, whose sum is σ = 70447104. Its totient is φ = 5365440.

The previous prime is 22864837. The next prime is 22864843. The reversal of 22864842 is 24846822.

It is a happy number.

22864842 is a `hidden beast` number, since 2 + 2 + 8 + 648 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22864797 and 22864806.

It is not an unprimeable number, because it can be changed into a prime (22864843) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486463 + ... + 486509.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 222864842 is an apocalyptic number.

22864842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22864842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

22864842 is an abundant number, since it is smaller than the sum of its proper divisors (47582262).

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

22864842 is a wasteful number, since it uses less digits than its factorization.

22864842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22864842 is about 4781.7195651774. The cubic root of 22864842 is about 283.8285432720.

The spelling of 22864842 in words is "twenty-two million, eight hundred sixty-four thousand, eight hundred forty-two".