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2030031200 = 255217612447
BaseRepresentation
bin111100011111111…
…1101000101100000
312020110212021021202
41320333331011200
513124141444300
6533234340332
7101206660211
oct17077750540
95213767252
102030031200
1195199953a
12487a2a6a8
132647605c2
14153875408
15bd345ad5
hex78ffd160

2030031200 has 144 divisors (see below), whose sum is σ = 5335533504. Its totient is φ = 751411200.

The previous prime is 2030031167. The next prime is 2030031203. The reversal of 2030031200 is 21300302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030031203) 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, 828377 + ... + 830823.

It is an arithmetic number, because the mean of its divisors is an integer number (37052316).

Almost surely, 22030031200 is an apocalyptic number.

2030031200 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 2030031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667766752).

2030031200 is an abundant number, since it is smaller than the sum of its proper divisors (3305502304).

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

2030031200 is a wasteful number, since it uses less digits than its factorization.

2030031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2030031200 is about 45055.8675424189. The cubic root of 2030031200 is about 1266.1959038539.

Adding to 2030031200 its reverse (21300302), we get a palindrome (2051331502).

The spelling of 2030031200 in words is "two billion, thirty million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 68 80 85 100 122 136 160 170 200 244 272 305 340 400 425 488 544 610 680 800 850 976 1037 1220 1360 1525 1700 1952 2074 2440 2447 2720 3050 3400 4148 4880 4894 5185 6100 6800 8296 9760 9788 10370 12200 12235 13600 16592 19576 20740 24400 24470 25925 33184 39152 41480 41599 48800 48940 51850 61175 78304 82960 83198 97880 103700 122350 149267 165920 166396 195760 207400 207995 244700 298534 332792 391520 414800 415990 489400 597068 665584 746335 829600 831980 978800 1039975 1194136 1331168 1492670 1663960 1957600 2079950 2388272 2537539 2985340 3327920 3731675 4159900 4776544 5075078 5970680 6655840 7463350 8319800 10150156 11941360 12687695 14926700 16639600 20300312 23882720 25375390 29853400 33279200 40600624 50750780 59706800 63438475 81201248 101501560 119413600 126876950 203003120 253753900 406006240 507507800 1015015600 2030031200