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2030332400 = 245219311859
BaseRepresentation
bin111100100000100…
…0110100111110000
312020111102120110022
41321001012213300
513124231114100
6533245023012
7101212353305
oct17101064760
95214376408
102030332400
11952084868
12487b54a68
13264837725
141539130ac
15bd3a4e85
hex790469f0

2030332400 has 120 divisors (see below), whose sum is σ = 5157110400. Its totient is φ = 766022400.

The previous prime is 2030332391. The next prime is 2030332433. The reversal of 2030332400 is 42330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2363171 + ... + 2364029.

It is an arithmetic number, because the mean of its divisors is an integer number (42975920).

Almost surely, 22030332400 is an apocalyptic number.

2030332400 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 2030332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578555200).

2030332400 is an abundant number, since it is smaller than the sum of its proper divisors (3126778000).

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

2030332400 is a wasteful number, since it uses less digits than its factorization.

2030332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2030332400 is about 45059.2099353728. The cubic root of 2030332400 is about 1266.2585234737.

Adding to 2030332400 its reverse (42330302), we get a palindrome (2072662702).

The spelling of 2030332400 in words is "two billion, thirty million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 311 380 400 475 622 760 859 950 1244 1520 1555 1718 1900 2488 3110 3436 3800 4295 4976 5909 6220 6872 7600 7775 8590 11818 12440 13744 15550 16321 17180 21475 23636 24880 29545 31100 32642 34360 42950 47272 59090 62200 65284 68720 81605 85900 94544 118180 124400 130568 147725 163210 171800 236360 261136 267149 295450 326420 343600 408025 472720 534298 590900 652840 816050 1068596 1181800 1305680 1335745 1632100 2137192 2363600 2671490 3264200 4274384 5075831 5342980 6528400 6678725 10151662 10685960 13357450 20303324 21371920 25379155 26714900 40606648 50758310 53429800 81213296 101516620 106859600 126895775 203033240 253791550 406066480 507583100 1015166200 2030332400