Search a number
-
+
222442331232 = 25311316795037
BaseRepresentation
bin1100111100101010011…
…0001001110001100000
3210021011101111020100110
43033022212021301200
512121030214044412
6250104423051320
722033220422062
oct3171246116140
9707141436313
10222442331232
1186378995890
123713b5a0b40
1317c8c9b4404
14aaa28c5732
155bbd828d3c
hex33ca989c60

222442331232 has 96 divisors (see below), whose sum is σ = 657542237184. Its totient is φ = 65232345600.

The previous prime is 222442331231. The next prime is 222442331269. The reversal of 222442331232 is 232133244222.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 222442331232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222442331231) 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 15 ways as a sum of consecutive naturals, for example, 3364783 + ... + 3430254.

It is an arithmetic number, because the mean of its divisors is an integer number (6849398304).

Almost surely, 2222442331232 is an apocalyptic number.

222442331232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222442331232 is an abundant number, since it is smaller than the sum of its proper divisors (435099905952).

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

222442331232 is a wasteful number, since it uses less digits than its factorization.

222442331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795092 (or 6795084 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 222442331232 its reverse (232133244222), we get a palindrome (454575575454).

The spelling of 222442331232 in words is "two hundred twenty-two billion, four hundred forty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 6795037 13590074 20385111 27180148 40770222 54360296 74745407 81540444 108720592 149490814 163080888 210646147 217441184 224236221 298981628 326161776 421292294 448472442 597963256 631938441 652323552 842584588 896944884 1195926512 1263876882 1685169176 1793889768 2317107617 2391853024 2527753764 3370338352 3587779536 4634215234 5055507528 6740676704 6951322851 7175559072 9268430468 10111015056 13902645702 18536860936 20222030112 27805291404 37073721872 55610582808 74147443744 111221165616 222442331232