Search a number
-
+
222010110121200 = 24352931331986497
BaseRepresentation
bin110010011110101011000001…
…110000000001010011110000
31002010001221220021220210012120
4302132223001300001103300
5213044403201142334300
62104102011523354240
764522462330424502
oct6236530160012360
91063057807823176
10222010110121200
1164814a6040a935
1220a97068822980
1396b560456c9cb
143cb74bd35bd72
151a9eed47b43a0
hexc9eac1c014f0

222010110121200 has 120 divisors (see below), whose sum is σ = 711180380189808. Its totient is φ = 59202030551040.

The previous prime is 222010110121109. The next prime is 222010110121229. The reversal of 222010110121200 is 2121011010222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222010110121200.

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, 110766352 + ... + 112752848.

Almost surely, 2222010110121200 is an apocalyptic number.

222010110121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222010110121200 is an abundant number, since it is smaller than the sum of its proper divisors (489170270068608).

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

222010110121200 is a wasteful number, since it uses less digits than its factorization.

222010110121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079651 (or 2079640 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222010110121200 its reverse (2121011010222), we get a palindrome (224131121131422).

The spelling of 222010110121200 in words is "two hundred twenty-two trillion, ten billion, one hundred ten million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 93133 186266 279399 372532 465665 558798 745064 931330 1117596 1396995 1490128 1862660 1986497 2235192 2328325 2793990 3725320 3972994 4470384 4656650 5587980 5959491 6984975 7450640 7945988 9313300 9932485 11175960 11918982 13969950 15891976 18626600 19864970 22351920 23837964 27939900 29797455 31783952 37253200 39729940 47675928 49662425 55879800 59594910 79459880 95351856 99324850 111759600 119189820 148987275 158919760 198649700 238379640 297974550 397299400 476759280 595949100 794598800 1191898200 2383796400 185008425101 370016850202 555025275303 740033700404 925042125505 1110050550606 1480067400808 1850084251010 2220101101212 2775126376515 2960134801616 3700168502020 4440202202424 4625210627525 5550252753030 7400337004040 8880404404848 9250421255050 11100505506060 13875631882575 14800674008080 18500842510100 22201011012120 27751263765150 37001685020200 44402022024240 55502527530300 74003370040400 111005055060600 222010110121200