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223221133312 = 212731076977
BaseRepresentation
bin1100111111100100000…
…1000011000000000000
3210100011122221110221221
43033321001003000000
512124124102231222
6250314003324424
722061425220062
oct3177101030000
9710148843857
10223221133312
1186738568371
1237318380714
1318085154848
14ab380d3732
155c16db50c7
hex33f9043000

223221133312 has 104 divisors (see below), whose sum is σ = 456797129616. Its totient is φ = 109037223936.

The previous prime is 223221133279. The next prime is 223221133391. The reversal of 223221133312 is 213331122322.

It is a super-3 number, since 3×2232211333123 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31990368 + ... + 31997344.

Almost surely, 2223221133312 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 223221133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228398564808).

223221133312 is an abundant number, since it is smaller than the sum of its proper divisors (233575996304).

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

223221133312 is an equidigital number, since it uses as much as digits as its factorization.

223221133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181 (or 7159 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

Adding to 223221133312 its reverse (213331122322), we get a palindrome (436552255634).

The spelling of 223221133312 in words is "two hundred twenty-three billion, two hundred twenty-one million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 73 107 128 146 214 256 292 428 512 584 856 1024 1168 1712 2048 2336 3424 4096 4672 6848 6977 7811 9344 13696 13954 15622 18688 27392 27908 31244 37376 54784 55816 62488 74752 109568 111632 124976 149504 219136 223264 249952 299008 438272 446528 499904 509321 746539 893056 999808 1018642 1493078 1786112 1999616 2037284 2986156 3572224 3999232 4074568 5972312 7144448 7998464 8149136 11944624 14288896 15996928 16298272 23889248 28577792 31993856 32596544 47778496 54497347 65193088 95556992 108994694 130386176 191113984 217989388 260772352 382227968 435978776 521544704 764455936 871957552 1043089408 1528911872 1743915104 2086178816 3057823744 3487830208 6975660416 13951320832 27902641664 55805283328 111610566656 223221133312