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2243003221144 = 237437156923057
BaseRepresentation
bin100000101000111101011…
…010010000010010011000
321221102120202021111212201
4200220331122100102120
5243222132311034034
64434231011215544
7321023465542450
oct40507532202230
97842522244781
102243003221144
11795285930574
123028612a75b4
1313368bba751a
147a7c1d42d60
153d52b917014
hex20a3d690498

2243003221144 has 128 divisors (see below), whose sum is σ = 4996465689600. Its totient is φ = 924040212480.

The previous prime is 2243003221103. The next prime is 2243003221159. The reversal of 2243003221144 is 4411223003422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97269264 + ... + 97292320.

It is an arithmetic number, because the mean of its divisors is an integer number (39034888200).

Almost surely, 22243003221144 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 2243003221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498232844800).

2243003221144 is an abundant number, since it is smaller than the sum of its proper divisors (2753462468456).

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

2243003221144 is a wasteful number, since it uses less digits than its factorization.

2243003221144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23753 (or 23749 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2243003221144 its reverse (4411223003422), we get a palindrome (6654226224566).

The spelling of 2243003221144 in words is "two trillion, two hundred forty-three billion, three million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 71 86 142 172 284 301 344 497 568 569 602 994 1138 1204 1988 2276 2408 3053 3976 3983 4552 6106 7966 12212 15932 21371 23057 24424 24467 31864 40399 42742 46114 48934 80798 85484 92228 97868 161399 161596 170968 171269 184456 195736 282793 322798 323192 342538 565586 645596 685076 991451 1131172 1291192 1370152 1637047 1737157 1982902 2262344 3274094 3474314 3965804 6548188 6940157 6948628 7931608 11459329 12160099 13096376 13119433 13880314 13897256 22918658 24320198 26238866 27760628 45837316 48640396 52477732 55521256 70393021 91674632 91836031 97280792 104955464 140786042 183672062 281572084 367344124 492751147 563144168 564135619 734688248 931479743 985502294 1128271238 1862959486 1971004588 2256542476 3725918972 3942009176 3948949333 4513084952 6520358201 7451837944 7897898666 13040716402 15795797332 26081432804 31591594664 40053628949 52162865608 80107257898 160214515796 280375402643 320429031592 560750805286 1121501610572 2243003221144