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2002530200 = 235211411492
BaseRepresentation
bin111011101011100…
…0010111110011000
312011120010002000012
41313113002332120
513100121431300
6530413101052
7100424140316
oct16727027630
95146102005
102002530200
11938415640
1247a787788
1325bb51c18
1414dd570b6
15bac12435
hex775c2f98

2002530200 has 144 divisors (see below), whose sum is σ = 5238180360. Its totient is φ = 705664000.

The previous prime is 2002530193. The next prime is 2002530209. The reversal of 2002530200 is 20352002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002530209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13439726 + ... + 13439874.

Almost surely, 22002530200 is an apocalyptic number.

2002530200 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 2002530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619090180).

2002530200 is an abundant number, since it is smaller than the sum of its proper divisors (3235650160).

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

2002530200 is a wasteful number, since it uses less digits than its factorization.

2002530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2002530200 is about 44749.6391046900. The cubic root of 2002530200 is about 1260.4521347061.

Adding to 2002530200 its reverse (20352002), we get a palindrome (2022882202).

The spelling of 2002530200 in words is "two billion, two million, five hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 149 164 200 205 220 275 298 328 410 440 451 550 596 745 820 902 1025 1100 1192 1490 1639 1640 1804 2050 2200 2255 2980 3278 3608 3725 4100 4510 5960 6109 6556 7450 8195 8200 9020 11275 12218 13112 14900 16390 18040 22201 22550 24436 29800 30545 32780 40975 44402 45100 48872 61090 65560 67199 81950 88804 90200 111005 122180 134398 152725 163900 177608 222010 244211 244360 268796 305450 327800 335995 444020 488422 537592 555025 610900 671990 888040 910241 976844 1110050 1221055 1221800 1343980 1679975 1820482 1953688 2220100 2442110 2687960 3359950 3640964 4440200 4551205 4884220 6105275 6719900 7281928 9102410 9768440 10012651 12210550 13439800 18204820 20025302 22756025 24421100 36409640 40050604 45512050 48842200 50063255 80101208 91024100 100126510 182048200 200253020 250316275 400506040 500632550 1001265100 2002530200