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2242410327560 = 2351312959332767
BaseRepresentation
bin100000101000011010000…
…100100010111000001000
321221101001102122101210002
4200220122010202320020
5243214424020440220
64434052111342132
7321003006201644
oct40503204427010
97841042571702
102242410327560
11795001196877
12302716821948
131335c60c9410
147a7672c9c24
153d4e484ec75
hex20a1a122e08

2242410327560 has 64 divisors (see below), whose sum is σ = 5433968332800. Its totient is φ = 827900510976.

The previous prime is 2242410327511. The next prime is 2242410327583. The reversal of 2242410327560 is 657230142422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6572297 + ... + 6905063.

It is an arithmetic number, because the mean of its divisors is an integer number (84905755200).

Almost surely, 22242410327560 is an apocalyptic number.

2242410327560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242410327560 is an abundant number, since it is smaller than the sum of its proper divisors (3191558005240).

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

2242410327560 is a wasteful number, since it uses less digits than its factorization.

2242410327560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345750 (or 345746 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

Adding to 2242410327560 its reverse (657230142422), we get a palindrome (2899640469982).

The spelling of 2242410327560 in words is "two trillion, two hundred forty-two billion, four hundred ten million, three hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 12959 25918 51836 64795 103672 129590 168467 259180 332767 336934 518360 665534 673868 842335 1331068 1347736 1663835 1684670 2662136 3327670 3369340 4325971 6655340 6738680 8651942 13310680 17303884 21629855 34607768 43259710 86519420 173038840 4312327553 8624655106 17249310212 21561637765 34498620424 43123275530 56060258189 86246551060 112120516378 172493102120 224241032756 280301290945 448482065512 560602581890 1121205163780 2242410327560