Search a number
-
+
8922144 = 2537111771
BaseRepresentation
bin100010000010…
…010000100000
3121210021212210
4202002100200
54241002034
6515122120
7135560040
oct42022040
917707783
108922144
115044380
122ba3340
131b0509a
141283720
15bb38e9
hex882420

8922144 has 192 divisors, whose sum is σ = 31352832. Its totient is φ = 2150400.

The previous prime is 8922139. The next prime is 8922149. The reversal of 8922144 is 4412298.

It is an interprime number because it is at equal distance from previous prime (8922139) and next prime (8922149).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8922149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125629 + ... + 125699.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 28922144 is an apocalyptic number.

8922144 is a gapful number since it is divisible by the number (84) 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 8922144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15676416).

8922144 is an abundant number, since it is smaller than the sum of its proper divisors (22430688).

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

8922144 is a wasteful number, since it uses less digits than its factorization.

8922144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 8922144 is about 2986.9958151963. The cubic root of 8922144 is about 207.4068406510.

The spelling of 8922144 in words is "eight million, nine hundred twenty-two thousand, one hundred forty-four".