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2296521640 = 2357194310039
BaseRepresentation
bin1000100011100010…
…0010001110101000
312221001022101110001
42020320202032220
514200402143030
61015514232344
7110624053240
oct21070421650
95831271401
102296521640
11a79365776
125411256b4
132a7a27b5a
1417b004b20
15d6935cca
hex88e223a8

2296521640 has 128 divisors (see below), whose sum is σ = 6361344000. Its totient is φ = 728517888.

The previous prime is 2296521637. The next prime is 2296521649. The reversal of 2296521640 is 461256922.

It is a self number, because there is not a number n which added to its sum of digits gives 2296521640.

It is not an unprimeable number, because it can be changed into a prime (2296521649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223741 + ... + 233779.

It is an arithmetic number, because the mean of its divisors is an integer number (49698000).

Almost surely, 22296521640 is an apocalyptic number.

2296521640 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 2296521640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180672000).

2296521640 is an abundant number, since it is smaller than the sum of its proper divisors (4064822360).

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

2296521640 is a wasteful number, since it uses less digits than its factorization.

2296521640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2296521640 is about 47922.0371019430. The cubic root of 2296521640 is about 1319.3403575872.

The spelling of 2296521640 in words is "two billion, two hundred ninety-six million, five hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 43 56 70 76 86 95 133 140 152 172 190 215 266 280 301 344 380 430 532 602 665 760 817 860 1064 1204 1330 1505 1634 1720 2408 2660 3010 3268 4085 5320 5719 6020 6536 8170 10039 11438 12040 16340 20078 22876 28595 32680 40156 45752 50195 57190 70273 80312 100390 114380 140546 190741 200780 228760 281092 351365 381482 401560 431677 562184 702730 762964 863354 953705 1335187 1405460 1525928 1726708 1907410 2158385 2670374 2810920 3021739 3453416 3814820 4316770 5340748 6043478 6675935 7629640 8201863 8633540 10681496 12086956 13351870 15108695 16403726 17267080 24173912 26703740 30217390 32807452 41009315 53407480 57413041 60434780 65614904 82018630 114826082 120869560 164037260 229652164 287065205 328074520 459304328 574130410 1148260820 2296521640