Search a number
-
+
222123232100 = 225271128847173
BaseRepresentation
bin1100111011011110010…
…0111000101101100100
3210020100011001022122002
43032313210320231210
512114402021411400
6250013023424432
722022264214650
oct3166744705544
9706304038562
10222123232100
11862248569a0
1237070755118
1317c3b85a263
14aa7237da60
155ba07e5ed5
hex33b7938b64

222123232100 has 72 divisors (see below), whose sum is σ = 600944328768. Its totient is φ = 69233212800.

The previous prime is 222123232091. The next prime is 222123232127. The reversal of 222123232100 is 1232321222.

It is a happy number.

It is a super-3 number, since 3×2221232321003 (a number of 35 digits) contains 333 as substring.

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

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, 14415887 + ... + 14431286.

Almost surely, 2222123232100 is an apocalyptic number.

222123232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222123232100 is an abundant number, since it is smaller than the sum of its proper divisors (378821096668).

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

222123232100 is a wasteful number, since it uses less digits than its factorization.

222123232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28847205 (or 28847198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 222123232100 its reverse (1232321222), we get a palindrome (223355553322).

The spelling of 222123232100 in words is "two hundred twenty-two billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 28847173 57694346 115388692 144235865 201930211 288471730 317318903 403860422 576943460 634637806 721179325 807720844 1009651055 1269275612 1442358650 1586594515 2019302110 2221232321 2884717300 3173189030 4038604220 4442464642 5048255275 6346378060 7932972575 8884929284 10096510550 11106161605 15865945150 20193021100 22212323210 31731890300 44424646420 55530808025 111061616050 222123232100