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2240554304 = 26173735521
BaseRepresentation
bin1000010110001100…
…0010010101000000
312210010222221200202
42011203002111000
514042040214204
61010154504332
7106344253202
oct20543022500
95703887622
102240554304
11a4a80967a
125264350a8
132992605a1
141737d6772
15d1a7ce1e
hex858c2540

2240554304 has 56 divisors (see below), whose sum is σ = 4721111208. Its totient is φ = 1051361280.

The previous prime is 2240554291. The next prime is 2240554319. The reversal of 2240554304 is 4034550422.

It can be written as a sum of positive squares in 4 ways, for example, as 422384704 + 1818169600 = 20552^2 + 42640^2 .

It is a congruent number.

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, 403064 + ... + 408584.

Almost surely, 22240554304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360555604).

2240554304 is an abundant number, since it is smaller than the sum of its proper divisors (2480556904).

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

2240554304 is a wasteful number, since it uses less digits than its factorization.

2240554304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 2240554304 is about 47334.4938073705. The cubic root of 2240554304 is about 1308.5344416707.

The spelling of 2240554304 in words is "two billion, two hundred forty million, five hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 373 544 746 1088 1492 2984 5521 5968 6341 11042 11936 12682 22084 23872 25364 44168 50728 88336 93857 101456 176672 187714 202912 353344 375428 405824 750856 1501712 2059333 3003424 4118666 6006848 8237332 16474664 32949328 35008661 65898656 70017322 131797312 140034644 280069288 560138576 1120277152 2240554304