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2269680 = 243572193
BaseRepresentation
bin1000101010000111110000
311021022102020
420222013300
51040112210
6120351440
725202100
oct10520760
94238366
102269680
111310276
12915580
1361610a
14431200
152ec770
hex22a1f0

2269680 has 120 divisors (see below), whose sum is σ = 8227152. Its totient is φ = 516096.

The previous prime is 2269661. The next prime is 2269699. The reversal of 2269680 is 869622.

It is an interprime number because it is at equal distance from previous prime (2269661) and next prime (2269699).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11664 + ... + 11856.

22269680 is an apocalyptic number.

2269680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113576).

2269680 is an abundant number, since it is smaller than the sum of its proper divisors (5957472).

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

2269680 is a wasteful number, since it uses less digits than its factorization.

2269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2269680 is about 1506.5457178592. The cubic root of 2269680 is about 131.4180070724.

The spelling of 2269680 in words is "two million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 193 196 210 240 245 280 294 336 386 392 420 490 560 579 588 735 772 784 840 965 980 1158 1176 1351 1470 1544 1680 1930 1960 2316 2352 2702 2895 2940 3088 3860 3920 4053 4632 5404 5790 5880 6755 7720 8106 9264 9457 10808 11580 11760 13510 15440 16212 18914 20265 21616 23160 27020 28371 32424 37828 40530 46320 47285 54040 56742 64848 75656 81060 94570 108080 113484 141855 151312 162120 189140 226968 283710 324240 378280 453936 567420 756560 1134840 2269680