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2254223344104 = 2332157199418201
BaseRepresentation
bin100000110011011010001…
…011101000000111101000
321222111112200220211001100
4200303122023220013220
5243413122134002404
64443324221321400
7321601520163264
oct40633213500750
97874480824040
102254223344104
1179a013345a66
12304a72a06260
131347595b3534
147b1681530a4
153d986987d39
hex20cda2e81e8

2254223344104 has 48 divisors (see below), whose sum is σ = 6144074803620. Its totient is φ = 746621740800.

The previous prime is 2254223344103. The next prime is 2254223344127. The reversal of 2254223344104 is 4014433224522.

2254223344104 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 2 + 233 + 4 + 410 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1801227041604 + 452996302500 = 1342098^2 + 673050^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2254223344103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99697797 + ... + 99720404.

Almost surely, 22254223344104 is an apocalyptic number.

2254223344104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2254223344104 is an abundant number, since it is smaller than the sum of its proper divisors (3889851459516).

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

2254223344104 is a wasteful number, since it uses less digits than its factorization.

2254223344104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199418370 (or 199418363 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 2254223344104 its reverse (4014433224522), we get a palindrome (6268656568626).

The spelling of 2254223344104 in words is "two trillion, two hundred fifty-four billion, two hundred twenty-three million, three hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 199418201 398836402 598254603 797672804 1196509206 1595345608 1794763809 2393018412 3589527618 4786036824 7179055236 14358110472 31308657557 62617315114 93925972671 125234630228 187851945342 250469260456 281777918013 375703890684 563555836026 751407781368 1127111672052 2254223344104