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2302312020 = 2235436114629
BaseRepresentation
bin1000100100111010…
…0111111001010100
312221110012120100120
42021032213321110
514203342441040
61020242311540
7111024220641
oct21116477124
95843176316
102302312020
11a81660108
125430585b0
132a8ca4608
1417bab0dc8
15d71cb7d0
hex893a7e54

2302312020 has 96 divisors (see below), whose sum is σ = 6704987520. Its totient is φ = 589800960.

The previous prime is 2302311953. The next prime is 2302312027. The reversal of 2302312020 is 202132032.

2302312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302312027) 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, 150066 + ... + 164694.

It is an arithmetic number, because the mean of its divisors is an integer number (69843620).

Almost surely, 22302312020 is an apocalyptic number.

2302312020 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 2302312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352493760).

2302312020 is an abundant number, since it is smaller than the sum of its proper divisors (4402675500).

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

2302312020 is a wasteful number, since it uses less digits than its factorization.

2302312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14745 (or 14743 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2302312020 is about 47982.4136533376. The cubic root of 2302312020 is about 1320.4482752038.

Adding to 2302312020 its reverse (202132032), we get a palindrome (2504444052).

The spelling of 2302312020 in words is "two billion, three hundred two million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 61 86 122 129 172 183 215 244 258 305 366 430 516 610 645 732 860 915 1220 1290 1830 2580 2623 3660 5246 7869 10492 13115 14629 15738 26230 29258 31476 39345 43887 52460 58516 73145 78690 87774 146290 157380 175548 219435 292580 438870 629047 877740 892369 1258094 1784738 1887141 2516188 2677107 3145235 3569476 3774282 4461845 5354214 6290470 7548564 8923690 9435705 10708428 12580940 13385535 17847380 18871410 26771070 37742820 38371867 53542140 76743734 115115601 153487468 191859335 230231202 383718670 460462404 575578005 767437340 1151156010 2302312020