Search a number
-
+
22032442224 = 24321329274021
BaseRepresentation
bin10100100001001111…
…000110001101110000
32002212110221000211200
4110201033012031300
5330110301122344
614042131411200
71406661445302
oct244117061560
962773830750
1022032442224
119386814a41
12432a753b00
1321017a0780
1410d01c7972
1588e3db069
hex5213c6370

22032442224 has 120 divisors (see below), whose sum is σ = 66442539072. Its totient is φ = 6775211520.

The previous prime is 22032442217. The next prime is 22032442231. The reversal of 22032442224 is 42224423022.

It is an interprime number because it is at equal distance from previous prime (22032442217) and next prime (22032442231).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5477334 + ... + 5481354.

Almost surely, 222032442224 is an apocalyptic number.

22032442224 is a gapful number since it is divisible by the number (24) 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 22032442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33221269536).

22032442224 is an abundant number, since it is smaller than the sum of its proper divisors (44410096848).

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

22032442224 is a wasteful number, since it uses less digits than its factorization.

22032442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22032442224 its reverse (42224423022), we get a palindrome (64256865246).

The spelling of 22032442224 in words is "twenty-two billion, thirty-two million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2927 4021 5854 8042 8781 11708 12063 16084 17562 23416 24126 26343 32168 35124 36189 38051 46832 48252 52273 52686 64336 70248 72378 76102 96504 104546 105372 114153 140496 144756 152204 156819 193008 209092 210744 228306 289512 304408 313638 342459 418184 421488 456612 470457 579024 608816 627276 684918 836368 913224 940914 1254552 1369836 1826448 1881828 2509104 2739672 3763656 5479344 7527312 11769467 23538934 35308401 47077868 70616802 94155736 105925203 141233604 153003071 188311472 211850406 282467208 306006142 423700812 459009213 564934416 612012284 847401624 918018426 1224024568 1377027639 1694803248 1836036852 2448049136 2754055278 3672073704 5508110556 7344147408 11016221112 22032442224