Search a number
-
+
222000012120 = 23352380434787
BaseRepresentation
bin1100111011000000111…
…0110101101101011000
3210020000120012002121010
43032300032311231120
512114124000341440
6245552502413520
722016236653015
oct3166016655530
9706016162533
10222000012120
11861712459a7
12370374312a0
1317c1c176823
14aa5dc6670c
155b94aa6580
hex33b03b5b58

222000012120 has 64 divisors (see below), whose sum is σ = 694956568320. Its totient is φ = 56626089344.

The previous prime is 222000012119. The next prime is 222000012127. The reversal of 222000012120 is 21210000222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222000012096 and 222000012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222000012127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40214634 + ... + 40220153.

It is an arithmetic number, because the mean of its divisors is an integer number (10858696380).

Almost surely, 2222000012120 is an apocalyptic number.

222000012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222000012120 is an abundant number, since it is smaller than the sum of its proper divisors (472956556200).

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

222000012120 is a wasteful number, since it uses less digits than its factorization.

222000012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80434824 (or 80434820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222000012120 its reverse (21210000222), we get a palindrome (243210012342).

The spelling of 222000012120 in words is "two hundred twenty-two billion, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 80434787 160869574 241304361 321739148 402173935 482608722 643478296 804347870 965217444 1206521805 1608695740 1850000101 1930434888 2413043610 3217391480 3700000202 4826087220 5550000303 7400000404 9250000505 9652174440 11100000606 14800000808 18500001010 22200001212 27750001515 37000002020 44400002424 55500003030 74000004040 111000006060 222000012120