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224222440420 = 225112211143891
BaseRepresentation
bin1101000011010010110…
…0101110101111100100
3210102202110002011002101
43100310230232233210
512133201421043140
6251001213021444
722125304203556
oct3206454565744
9712673064071
10224222440420
11871017a4200
1237557784884
13181b472b964
14abd10a14d6
155c74c5399a
hex3434b2ebe4

224222440420 has 72 divisors (see below), whose sum is σ = 517821663744. Its totient is φ = 81494952000.

The previous prime is 224222440373. The next prime is 224222440427. The reversal of 224222440420 is 24044222422.

It is not an unprimeable number, because it can be changed into a prime (224222440427) 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, 5086675 + ... + 5130565.

It is an arithmetic number, because the mean of its divisors is an integer number (7191967552).

Almost surely, 2224222440420 is an apocalyptic number.

224222440420 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 224222440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258910831872).

224222440420 is an abundant number, since it is smaller than the sum of its proper divisors (293599223324).

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

224222440420 is a wasteful number, since it uses less digits than its factorization.

224222440420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46033 (or 46020 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 224222440420 its reverse (24044222422), we get a palindrome (248266662842).

The spelling of 224222440420 in words is "two hundred twenty-four billion, two hundred twenty-two million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2111 2420 4222 8444 10555 21110 23221 42220 43891 46442 87782 92884 116105 175564 219455 232210 255431 438910 464420 482801 510862 877820 965602 1021724 1277155 1931204 2414005 2554310 4828010 5108620 5310811 9656020 10621622 21243244 26554055 53108110 92653901 106216220 185307802 370615604 463269505 926539010 1019192911 1853078020 2038385822 4076771644 5095964555 10191929110 11211122021 20383858220 22422244042 44844488084 56055610105 112111220210 224222440420