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2273257792 = 261341103647
BaseRepresentation
bin1000011101111111…
…0010100101000000
312212102112110110001
42013133302211000
514123423222132
61013323445344
7110222241511
oct20737624500
95772473401
102273257792
11a67216253
12535386854
132a2c70c70
14177caaa08
15d488cce7
hex877f2940

2273257792 has 112 divisors (see below), whose sum is σ = 5032564992. Its totient is φ = 1012101120.

The previous prime is 2273257783. The next prime is 2273257801. The reversal of 2273257792 is 2977523722.

It is an interprime number because it is at equal distance from previous prime (2273257783) and next prime (2273257801).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513213 + ... + 3513859.

It is an arithmetic number, because the mean of its divisors is an integer number (44933616).

Almost surely, 22273257792 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 2273257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516282496).

2273257792 is an abundant number, since it is smaller than the sum of its proper divisors (2759307200).

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

2273257792 is a wasteful number, since it uses less digits than its factorization.

2273257792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its digits is 740880, while the sum is 46.

The square root of 2273257792 is about 47678.6932706843. The cubic root of 2273257792 is about 1314.8702406335.

The spelling of 2273257792 in words is "two billion, two hundred seventy-three million, two hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 103 104 164 206 208 328 412 416 533 647 656 824 832 1066 1294 1312 1339 1648 2132 2588 2624 2678 3296 4223 4264 5176 5356 6592 8411 8446 8528 10352 10712 16822 16892 17056 20704 21424 26527 33644 33784 34112 41408 42848 53054 54899 66641 67288 67568 85696 106108 109798 133282 134576 135136 212216 219596 266564 269152 270272 344851 424432 439192 533128 538304 689702 848864 866333 878384 1066256 1379404 1697728 1732666 1756768 2132512 2732281 2758808 3465332 3513536 4265024 5464562 5517616 6930664 10929124 11035232 13861328 21858248 22070464 27722656 35519653 43716496 55445312 71039306 87432992 142078612 174865984 284157224 568314448 1136628896 2273257792