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201444223002 = 2311311511733769
BaseRepresentation
bin1011101110011100000…
…0101110100000011010
3201020221222211211000020
42323213000232200122
511300024210114002
6232313040451310
720360655433461
oct2734700564032
9636858754006
10201444223002
1178483015330
123305b319b36
1315cc45b26b9
149a6dc259d8
1553901522bc
hex2ee702e81a

201444223002 has 128 divisors (see below), whose sum is σ = 459458887680. Its totient is φ = 58328640000.

The previous prime is 201444222949. The next prime is 201444223003. The reversal of 201444223002 is 200322444102.

It is not an unprimeable number, because it can be changed into a prime (201444223003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53445774 + ... + 53449542.

It is an arithmetic number, because the mean of its divisors is an integer number (3589522560).

Almost surely, 2201444223002 is an apocalyptic number.

201444223002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201444223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229729443840).

201444223002 is an abundant number, since it is smaller than the sum of its proper divisors (258014664678).

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

201444223002 is a wasteful number, since it uses less digits than its factorization.

201444223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 201444223002 its reverse (200322444102), we get a palindrome (401766667104).

The spelling of 201444223002 in words is "two hundred one billion, four hundred forty-four million, two hundred twenty-three thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 151 173 186 302 341 346 453 519 682 906 1023 1038 1661 1903 2046 3322 3769 3806 4681 4983 5363 5709 7538 9362 9966 10726 11307 11418 14043 16089 22614 26123 28086 32178 41459 51491 52246 58993 78369 82918 102982 116839 117986 124377 154473 156738 176979 233678 248754 287353 308946 350517 353958 569119 574706 652037 701034 809813 862059 1138238 1285229 1304074 1619626 1707357 1724118 1956111 2429439 2570458 3414714 3855687 3912222 4858878 6260309 7172407 7711374 8907943 12520618 14344814 17642689 17815886 18780927 20213147 21517221 26723829 35285378 37561854 40426294 43034442 52928067 53447658 60639441 98457587 105856134 121278882 194069579 196915174 222344617 295372761 388139158 444689234 582208737 590745522 667033851 1083033457 1164417474 1334067702 2166066914 3052185197 3249100371 6104370394 6498200742 9156555591 18313111182 33574037167 67148074334 100722111501 201444223002