Search a number
-
+
22472344368 = 2432616194133
BaseRepresentation
bin10100111011011101…
…001100001100110000
32011000010200101010200
4110323131030030300
5332010410004433
614153524155200
71423612526655
oct247335141460
964003611120
1022472344368
119592063a31
124431b38b00
1321719731b6
1411327b7c2c
158b7d32613
hex53b74c330

22472344368 has 120 divisors (see below), whose sum is σ = 64041116880. Its totient is φ = 7354298880.

The previous prime is 22472344361. The next prime is 22472344379. The reversal of 22472344368 is 86344327422.

22472344368 is a `hidden beast` number, since 2 + 247 + 2 + 3 + 44 + 368 = 666.

It is a super-2 number, since 2×224723443682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22472344361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5435230 + ... + 5439362.

It is an arithmetic number, because the mean of its divisors is an integer number (533675974).

Almost surely, 222472344368 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 22472344368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32020558440).

22472344368 is an abundant number, since it is smaller than the sum of its proper divisors (41568772512).

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

22472344368 is a wasteful number, since it uses less digits than its factorization.

22472344368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4818 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 22472344368 in words is "twenty-two billion, four hundred seventy-two million, three hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 619 732 976 1098 1238 1464 1857 2196 2476 2928 3714 4133 4392 4952 5571 7428 8266 8784 9904 11142 12399 14856 16532 22284 24798 29712 33064 37197 37759 44568 49596 66128 74394 75518 89136 99192 113277 148788 151036 198384 226554 252113 297576 302072 339831 453108 504226 595152 604144 679662 756339 906216 1008452 1359324 1512678 1812432 2016904 2269017 2558327 2718648 3025356 4033808 4538034 5116654 5437296 6050712 7674981 9076068 10233308 12101424 15349962 18152136 20466616 23024943 30699924 36304272 40933232 46049886 61399848 92099772 122799696 156057947 184199544 312115894 368399088 468173841 624231788 936347682 1248463576 1404521523 1872695364 2496927152 2809043046 3745390728 5618086092 7490781456 11236172184 22472344368