Search a number
-
+
2205510210200 = 2352113093132411
BaseRepresentation
bin100000000110000010101…
…001110001001010011000
321210211210210120012211202
4200012002221301022120
5242113341103211300
64405110350013332
7315225412316603
oct40060251611230
97724723505752
102205510210200
1178039601a510
122b7538aa7248
1312cc9533064b
1478a666c533a
153c58508bad5
hex20182a71298

2205510210200 has 96 divisors (see below), whose sum is σ = 5594329350720. Its totient is φ = 801953040000.

The previous prime is 2205510210199. The next prime is 2205510210217. The reversal of 2205510210200 is 20120155022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 68031995 + ... + 68064405.

It is an arithmetic number, because the mean of its divisors is an integer number (58274264070).

Almost surely, 22205510210200 is an apocalyptic number.

2205510210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205510210200 is an abundant number, since it is smaller than the sum of its proper divisors (3388819140520).

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

2205510210200 is a wasteful number, since it uses less digits than its factorization.

2205510210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63369 (or 63360 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 2205510210200 its reverse (20120155022), we get a palindrome (2225630365222).

The spelling of 2205510210200 in words is "two trillion, two hundred five billion, five hundred ten million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 30931 32411 61862 64822 123724 129644 154655 162055 247448 259288 309310 324110 340241 356521 618620 648220 680482 713042 773275 810275 1237240 1296440 1360964 1426084 1546550 1620550 1701205 1782605 2721928 2852168 3093100 3241100 3402410 3565210 6186200 6482200 6804820 7130420 8506025 8913025 13609640 14260840 17012050 17826050 34024100 35652100 68048200 71304200 1002504641 2005009282 4010018564 5012523205 8020037128 10025046410 11027551051 20050092820 22055102102 25062616025 40100185640 44110204204 50125232050 55137755255 88220408408 100250464100 110275510510 200500928200 220551021020 275688776275 441102042040 551377552550 1102755105100 2205510210200