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2285309968 = 241929536773
BaseRepresentation
bin1000100000110111…
…0001000000010000
312220021012202220221
42020031301000100
514140014404333
61014434042424
7110426546164
oct21015610020
95807182827
102285309968
11a72aa8227
12539419414
132a5600926
14179726ca4
15d596dd2d
hex88371010

2285309968 has 160 divisors (see below), whose sum is σ = 5054140800. Its totient is φ = 996323328.

The previous prime is 2285309963. The next prime is 2285309989. The reversal of 2285309968 is 8699035822.

It is a happy number.

It is a super-2 number, since 2×22853099682 = 10445283299680322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2285309963) 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, 31305580 + ... + 31305652.

It is an arithmetic number, because the mean of its divisors is an integer number (31588380).

Almost surely, 22285309968 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 2285309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527070400).

2285309968 is an abundant number, since it is smaller than the sum of its proper divisors (2768830832).

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

2285309968 is a wasteful number, since it uses less digits than its factorization.

2285309968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The square root of 2285309968 is about 47804.9157304978. The cubic root of 2285309968 is about 1317.1898373923.

The spelling of 2285309968 in words is "two billion, two hundred eighty-five million, three hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 29 38 53 58 67 73 76 106 116 134 146 152 212 232 268 292 304 424 464 536 551 584 848 1007 1072 1102 1168 1273 1387 1537 1943 2014 2117 2204 2546 2774 3074 3551 3869 3886 4028 4234 4408 4891 5092 5548 6148 7102 7738 7772 8056 8468 8816 9782 10184 11096 12296 14204 15476 15544 16112 16936 19564 20368 22192 24592 28408 29203 30952 31088 33872 36917 39128 40223 56816 58406 61904 67469 73511 73834 78256 80446 92929 102979 112201 116812 134938 141839 147022 147668 160892 185858 205958 224402 233624 259223 269876 283678 294044 295336 321784 371716 411916 448804 467248 518446 539752 567356 588088 590672 643568 743432 823832 897608 1036892 1079504 1134712 1176176 1486864 1647664 1795216 1956601 2073784 2131819 2269424 2694941 3913202 4147568 4263638 4925237 5389882 7517467 7826404 8527276 9850474 10779764 15034934 15652808 17054552 19700948 21559528 30069868 31305616 34109104 39401896 43119056 60139736 78803792 120279472 142831873 285663746 571327492 1142654984 2285309968