Search a number
-
+
2030313200 = 245229181967
BaseRepresentation
bin111100100000100…
…0001111011110000
312020111101121010012
41321001001323300
513124230010300
6533244354052
7101212243316
oct17101017360
95214347105
102030313200
119520713a3
12487b45928
1326482ba76
1415390a0b6
15bd39e435
hex79041ef0

2030313200 has 120 divisors (see below), whose sum is σ = 5079154080. Its totient is φ = 778982400.

The previous prime is 2030313161. The next prime is 2030313209. The reversal of 2030313200 is 23130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099117 + ... + 2100083.

It is an arithmetic number, because the mean of its divisors is an integer number (42326284).

Almost surely, 22030313200 is an apocalyptic number.

2030313200 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 2030313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539577040).

2030313200 is an abundant number, since it is smaller than the sum of its proper divisors (3048840880).

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

2030313200 is a wasteful number, since it uses less digits than its factorization.

2030313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2030313200 is about 45058.9968818659. The cubic root of 2030313200 is about 1266.2545319696.

Adding to 2030313200 its reverse (23130302), we get a palindrome (2053443502).

The spelling of 2030313200 in words is "two billion, thirty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 181 200 232 290 362 400 464 580 724 725 905 967 1160 1448 1450 1810 1934 2320 2896 2900 3620 3868 4525 4835 5249 5800 7240 7736 9050 9670 10498 11600 14480 15472 18100 19340 20996 24175 26245 28043 36200 38680 41992 48350 52490 56086 72400 77360 83984 96700 104980 112172 131225 140215 175027 193400 209960 224344 262450 280430 350054 386800 419920 448688 524900 560860 700108 701075 875135 1049800 1121720 1400216 1402150 1750270 2099600 2243440 2800432 2804300 3500540 4375675 5075783 5608600 7001080 8751350 10151566 11217200 14002160 17502700 20303132 25378915 35005400 40606264 50757830 70010800 81212528 101515660 126894575 203031320 253789150 406062640 507578300 1015156600 2030313200