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220023211232 = 251153113104369
BaseRepresentation
bin1100110011101001100…
…1111100010011100000
3210000220210111012120102
43030322121330103200
512101101420224412
6245024405001532
721616244303066
oct3147231742340
9700823435512
10220023211232
1185347404160
12367853b32a8
1317995762a66
14a9134ca036
155acb2778c2
hex333a67c4e0

220023211232 has 96 divisors (see below), whose sum is σ = 485731300320. Its totient is φ = 97254277120.

The previous prime is 220023211211. The next prime is 220023211273. The reversal of 220023211232 is 232112320022.

It is a happy number.

220023211232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055944 + ... + 2160312.

It is an arithmetic number, because the mean of its divisors is an integer number (5059701045).

Almost surely, 2220023211232 is an apocalyptic number.

220023211232 is a gapful number since it is divisible by the number (22) 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 220023211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242865650160).

220023211232 is an abundant number, since it is smaller than the sum of its proper divisors (265708089088).

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

220023211232 is a wasteful number, since it uses less digits than its factorization.

220023211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104556 (or 104548 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220023211232 its reverse (232112320022), we get a palindrome (452135531254).

The spelling of 220023211232 in words is "two hundred twenty billion, twenty-three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 113 176 212 226 352 424 452 583 848 904 1166 1243 1696 1808 2332 2486 3616 4664 4972 5989 9328 9944 11978 18656 19888 23956 39776 47912 65879 95824 104369 131758 191648 208738 263516 417476 527032 834952 1054064 1148059 1669904 2108128 2296118 3339808 4592236 5531557 9184472 11063114 11793697 18368944 22126228 23587394 36737888 44252456 47174788 60847127 88504912 94349576 121694254 129730667 177009824 188699152 243388508 259461334 377398304 486777016 518922668 625065941 973554032 1037845336 1250131882 1947108064 2075690672 2500263764 4151381344 5000527528 6875725351 10001055056 13751450702 20002110112 27502901404 55005802808 110011605616 220023211232