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2030232200 = 235273241577
BaseRepresentation
bin111100100000010…
…1110001010001000
312020111020111000012
41321000232022020
513124214412300
6533242531052
7101211455213
oct17100561210
95214214005
102030232200
11952016557
12487b06a88
13264800c39
141538c877a
15bd385435
hex7902e288

2030232200 has 96 divisors (see below), whose sum is σ = 4813133160. Its totient is φ = 796262400.

The previous prime is 2030232199. The next prime is 2030232221. The reversal of 2030232200 is 22320302.

It can be written as a sum of positive squares in 12 ways, for example, as 979564804 + 1050667396 = 31298^2 + 32414^2 .

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, 3518312 + ... + 3518888.

Almost surely, 22030232200 is an apocalyptic number.

2030232200 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 2030232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406566580).

2030232200 is an abundant number, since it is smaller than the sum of its proper divisors (2782900960).

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

2030232200 is a wasteful number, since it uses less digits than its factorization.

2030232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2030232200 is about 45058.0980512937. The cubic root of 2030232200 is about 1266.2376925346.

Adding to 2030232200 its reverse (22320302), we get a palindrome (2052552502).

The spelling of 2030232200 in words is "two billion, thirty million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 241 292 365 482 577 584 730 964 1154 1205 1460 1825 1928 2308 2410 2885 2920 3650 4616 4820 5770 6025 7300 9640 11540 12050 14425 14600 17593 23080 24100 28850 35186 42121 48200 57700 70372 84242 87965 115400 139057 140744 168484 175930 210605 278114 336968 351860 421210 439825 556228 695285 703720 842420 879650 1053025 1112456 1390570 1684840 1759300 2106050 2781140 3476425 3518600 4212100 5562280 6952850 8424200 10151161 13905700 20302322 27811400 40604644 50755805 81209288 101511610 203023220 253779025 406046440 507558050 1015116100 2030232200