Search a number
-
+
9222144 = 21131979
BaseRepresentation
bin100011001011…
…100000000000
3122100112101220
4203023200000
54330102034
6525355040
7141246501
oct43134000
918315356
109222144
115229808
123108a80
131bab7b9
141320ba8
15c22749
hex8cb800

9222144 has 96 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 2875392.

The previous prime is 9222137. The next prime is 9222173. The reversal of 9222144 is 4412229.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116697 + ... + 116775.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 29222144 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 9222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

9222144 is an abundant number, since it is smaller than the sum of its proper divisors (16985856).

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

9222144 is a wasteful number, since it uses less digits than its factorization.

9222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 9222144 is about 3036.7983140143. The cubic root of 9222144 is about 209.7058921451.

The spelling of 9222144 in words is "nine million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 152 158 192 228 237 256 304 316 384 456 474 512 608 632 768 912 948 1024 1216 1264 1501 1536 1824 1896 2048 2432 2528 3002 3072 3648 3792 4503 4864 5056 6004 6144 7296 7584 9006 9728 10112 12008 14592 15168 18012 19456 20224 24016 29184 30336 36024 38912 40448 48032 58368 60672 72048 80896 96064 116736 121344 144096 161792 192128 242688 288192 384256 485376 576384 768512 1152768 1537024 2305536 3074048 4611072 9222144