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220102221056 = 281979572801
BaseRepresentation
bin1100110011111100011…
…1010101110100000000
3210001010022011022200012
43030333013111310000
512101232132033211
6245040310244052
721621224003324
oct3147707256400
9701108138605
10220102221056
1185387a69433
12367a7956628
13179a8c37533
14a91dbb5984
155ad3182d8b
hex333f1d5d00

220102221056 has 72 divisors (see below), whose sum is σ = 468322915200. Its totient is φ = 102939033600.

The previous prime is 220102221023. The next prime is 220102221067. The reversal of 220102221056 is 650122201022.

220102221056 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 7 ways as a sum of consecutive naturals, for example, 97856 + ... + 670656.

Almost surely, 2220102221056 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 220102221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234161457600).

220102221056 is an abundant number, since it is smaller than the sum of its proper divisors (248220694144).

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

220102221056 is an equidigital number, since it uses as much as digits as its factorization.

220102221056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572915 (or 572901 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 220102221056 its reverse (650122201022), we get a palindrome (870224422078).

The spelling of 220102221056 in words is "two hundred twenty billion, one hundred two million, two hundred twenty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 128 152 158 256 304 316 608 632 1216 1264 1501 2432 2528 3002 4864 5056 6004 10112 12008 20224 24016 48032 96064 192128 384256 572801 1145602 2291204 4582408 9164816 10883219 18329632 21766438 36659264 43532876 45251279 73318528 87065752 90502558 146637056 174131504 181005116 348263008 362010232 696526016 724020464 859774301 1393052032 1448040928 1719548602 2786104064 2896081856 3439097204 5792163712 6878194408 11584327424 13756388816 27512777632 55025555264 110051110528 220102221056