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2209144704 = 27313442537
BaseRepresentation
bin1000001110101100…
…1101111110000000
312200221220011211020
42003223031332000
514011020112304
61003113345440
7105513264054
oct20353157600
95627804736
102209144704
11a34006128
12517a08280
132928b3b20
1416d57bc64
15cde265d9
hex83acdf80

2209144704 has 64 divisors (see below), whose sum is σ = 6319442640. Its totient is φ = 679735296.

The previous prime is 2209144669. The next prime is 2209144711. The reversal of 2209144704 is 4074419022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22091447042 = 9760640646422495232, which contains 22 as substring.

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, 216277 + ... + 226260.

Almost surely, 22209144704 is an apocalyptic number.

2209144704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2209144704 is an abundant number, since it is smaller than the sum of its proper divisors (4110297936).

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

2209144704 is a wasteful number, since it uses less digits than its factorization.

2209144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442567 (or 442555 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2209144704 is about 47001.5393790459. The cubic root of 2209144704 is about 1302.3910048136.

It can be divided in two parts, 22091 and 44704, that added together give a triangular number (66795 = T365).

The spelling of 2209144704 in words is "two billion, two hundred nine million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 442537 885074 1327611 1770148 2655222 3540296 5310444 5752981 7080592 10620888 11505962 14161184 17258943 21241776 23011924 28322368 34517886 42483552 46023848 56644736 69035772 84967104 92047696 138071544 169934208 184095392 276143088 368190784 552286176 736381568 1104572352 2209144704