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221444343340 = 225112239338239
BaseRepresentation
bin1100111000111100011…
…1001000011000101100
3210011120211121012022221
43032033013020120230
512112004222441330
6245421412445124
721666411601303
oct3161707103054
9704524535287
10221444343340
1185a06616800
1236b013197a4
1317b6100002c
14aa0a13d43a
155b60de3b7a
hex338f1c862c

221444343340 has 72 divisors (see below), whose sum is σ = 511379084160. Its totient is φ = 80489460480.

The previous prime is 221444343313. The next prime is 221444343347. The reversal of 221444343340 is 43343444122.

It is a junction number, because it is equal to n+sod(n) for n = 221444343296 and 221444343305.

It is not an unprimeable number, because it can be changed into a prime (221444343347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5771941 + ... + 5810179.

It is an arithmetic number, because the mean of its divisors is an integer number (7102487280).

Almost surely, 2221444343340 is an apocalyptic number.

221444343340 is a gapful number since it is divisible by the number (20) 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 221444343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255689542080).

221444343340 is an abundant number, since it is smaller than the sum of its proper divisors (289934740820).

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

221444343340 is a wasteful number, since it uses less digits than its factorization.

221444343340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40663 (or 40650 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 221444343340 its reverse (43343444122), we get a palindrome (264787787462).

The spelling of 221444343340 in words is "two hundred twenty-one billion, four hundred forty-four million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2393 2420 4786 9572 11965 23930 26323 38239 47860 52646 76478 105292 131615 152956 191195 263230 289553 382390 420629 526460 579106 764780 841258 1158212 1447765 1682516 2103145 2895530 4206290 4626919 5791060 8412580 9253838 18507676 23134595 46269190 91505927 92538380 183011854 366023708 457529635 915059270 1006565197 1830118540 2013130394 4026260788 5032825985 10065651970 11072217167 20131303940 22144434334 44288868668 55361085835 110722171670 221444343340