Search a number
-
+
2313200320 = 265411571123
BaseRepresentation
bin1000100111100000…
…1010001011000000
312222012200202021221
42021320022023000
514214134402240
61021311524424
7111215610154
oct21170121300
95865622257
102313200320
11a87817702
12546829714
132ab3175b2
1417d307064
15d812ca4a
hex89e0a2c0

2313200320 has 112 divisors (see below), whose sum is σ = 5683654368. Its totient is φ = 896163840.

The previous prime is 2313200303. The next prime is 2313200327. The reversal of 2313200320 is 230023132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2313200294 and 2313200303.

It is not an unprimeable number, because it can be changed into a prime (2313200327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2059279 + ... + 2060401.

It is an arithmetic number, because the mean of its divisors is an integer number (50746914).

Almost surely, 22313200320 is an apocalyptic number.

2313200320 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 2313200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841827184).

2313200320 is an abundant number, since it is smaller than the sum of its proper divisors (3370454048).

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

2313200320 is a wasteful number, since it uses less digits than its factorization.

2313200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2313200320 is about 48095.7411836017. The cubic root of 2313200320 is about 1322.5265963541.

Adding to 2313200320 its reverse (230023132), we get a palindrome (2543223452).

The spelling of 2313200320 in words is "two billion, three hundred thirteen million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 157 160 164 205 314 320 328 410 628 656 785 820 1123 1256 1312 1570 1640 2246 2512 2624 3140 3280 4492 5024 5615 6280 6437 6560 8984 10048 11230 12560 12874 13120 17968 22460 25120 25748 32185 35936 44920 46043 50240 51496 64370 71872 89840 92086 102992 128740 176311 179680 184172 205984 230215 257480 352622 359360 368344 411968 460430 514960 705244 736688 881555 920860 1029920 1410488 1473376 1763110 1841720 2059840 2820976 2946752 3526220 3683440 5641952 7052440 7228751 7366880 11283904 14104880 14457502 14733760 28209760 28915004 36143755 56419520 57830008 72287510 115660016 144575020 231320032 289150040 462640064 578300080 1156600160 2313200320