Search a number
-
+
2201200100 = 22521143173269
BaseRepresentation
bin1000001100110011…
…1010010111100100
312200101221112212122
42003030322113210
514002001400400
61002231205112
7105355615001
oct20314722744
95611845778
102201200100
11a2a57a240
12515216798
13291061988
1416c4b08a8
15cd3a7685
hex8333a5e4

2201200100 has 144 divisors (see below), whose sum is σ = 5382780480. Its totient is φ = 774412800.

The previous prime is 2201200097. The next prime is 2201200121. The reversal of 2201200100 is 10021022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8182766 + ... + 8183034.

It is an arithmetic number, because the mean of its divisors is an integer number (37380420).

Almost surely, 22201200100 is an apocalyptic number.

2201200100 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 2201200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691390240).

2201200100 is an abundant number, since it is smaller than the sum of its proper divisors (3181580380).

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

2201200100 is a wasteful number, since it uses less digits than its factorization.

2201200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2201200100 is about 46916.9489630347. The cubic root of 2201200100 is about 1300.8278947406.

Adding to 2201200100 its reverse (10021022), we get a palindrome (2211221122).

The spelling of 2201200100 in words is "two billion, two hundred one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 173 215 220 269 275 346 430 473 538 550 692 860 865 946 1075 1076 1100 1345 1730 1892 1903 2150 2365 2690 2959 3460 3806 4300 4325 4730 5380 5918 6725 7439 7612 8650 9460 9515 11567 11825 11836 13450 14795 14878 17300 19030 23134 23650 26900 29590 29756 37195 38060 46268 46537 47300 47575 57835 59180 73975 74390 81829 93074 95150 115670 127237 147950 148780 163658 185975 186148 190300 231340 232685 254474 289175 295900 327316 371950 409145 465370 508948 511907 578350 636185 743900 818290 930740 1023814 1156700 1163425 1272370 1636580 2001091 2045725 2047628 2326850 2544740 2559535 3180925 4002182 4091450 4653700 5119070 6361850 8004364 8182900 10005455 10238140 12723700 12797675 20010910 22012001 25595350 40021820 44024002 50027275 51190700 88048004 100054550 110060005 200109100 220120010 440240020 550300025 1100600050 2201200100