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2296505680 = 2457191012137
BaseRepresentation
bin1000100011100001…
…1110010101010000
312221001021120112221
42020320132111100
514200401140210
61015514030424
7110623655560
oct21070362520
95831246487
102296505680
11a79354787
12541118414
132a7a20801
1417addcda0
15d69311da
hex88e1e550

2296505680 has 160 divisors (see below), whose sum is σ = 6489941760. Its totient is φ = 738201600.

The previous prime is 2296505647. The next prime is 2296505683. The reversal of 2296505680 is 865056922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296505683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073572 + ... + 1075708.

It is an arithmetic number, because the mean of its divisors is an integer number (40562136).

Almost surely, 22296505680 is an apocalyptic number.

2296505680 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 2296505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244970880).

2296505680 is an abundant number, since it is smaller than the sum of its proper divisors (4193436080).

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

2296505680 is a wasteful number, since it uses less digits than its factorization.

2296505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 2296505680 is about 47921.8705811866. The cubic root of 2296505680 is about 1319.3373012663.

The spelling of 2296505680 in words is "two billion, two hundred ninety-six million, five hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 101 112 133 140 152 190 202 266 280 304 380 404 505 532 560 665 707 760 808 1010 1064 1330 1414 1520 1616 1919 2020 2128 2137 2660 2828 3535 3838 4040 4274 5320 5656 7070 7676 8080 8548 9595 10640 10685 11312 13433 14140 14959 15352 17096 19190 21370 26866 28280 29918 30704 34192 38380 40603 42740 53732 56560 59836 67165 74795 76760 81206 85480 107464 119672 134330 149590 153520 162412 170960 203015 214928 215837 239344 268660 284221 299180 324824 406030 431674 537320 568442 598360 649648 812060 863348 1074640 1079185 1136884 1196720 1421105 1510859 1624120 1726696 2158370 2273768 2842210 3021718 3248240 3453392 4100903 4316740 4547536 5684420 6043436 7554295 8201806 8633480 11368840 12086872 15108590 16403612 17266960 20504515 22737680 24173744 28706321 30217180 32807224 41009030 57412642 60434360 65614448 82018060 114825284 120868720 143531605 164036120 229650568 287063210 328072240 459301136 574126420 1148252840 2296505680