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2242886482464 = 253151154724509
BaseRepresentation
bin100000101000110110011…
…100111011101000100000
321221102021121121120111220
4200220312130323220200
5243221412414414324
64434211241135040
7321020550353445
oct40506634735040
97842247546456
102242886482464
11795225a47021
1230282a18a480
13133670952b94
147a7b06359cc
153d521557b79
hex20a3673ba20

2242886482464 has 48 divisors (see below), whose sum is σ = 5926567631040. Its totient is φ = 742677638400.

The previous prime is 2242886482429. The next prime is 2242886482517. The reversal of 2242886482464 is 4642846882422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22428864824642 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242886482398 and 2242886482407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77347759 + ... + 77376750.

It is an arithmetic number, because the mean of its divisors is an integer number (123470158980).

Almost surely, 22242886482464 is an apocalyptic number.

2242886482464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242886482464 is an abundant number, since it is smaller than the sum of its proper divisors (3683681148576).

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

2242886482464 is a wasteful number, since it uses less digits than its factorization.

2242886482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154724673 (or 154724665 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 60.

The spelling of 2242886482464 in words is "two trillion, two hundred forty-two billion, eight hundred eighty-six million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 906 1208 1812 2416 3624 4832 7248 14496 154724509 309449018 464173527 618898036 928347054 1237796072 1856694108 2475592144 3713388216 4951184288 7426776432 14853552864 23363400859 46726801718 70090202577 93453603436 140180405154 186907206872 280360810308 373814413744 560721620616 747628827488 1121443241232 2242886482464