Search a number
-
+
2042103222 = 232613175867
BaseRepresentation
bin111100110111000…
…0000010110110110
312021022120120222200
41321232000112312
513140234300342
6534345205330
7101414406465
oct17156002666
95238516880
102042103222
11958794415
1248ba90846
132670c9303
141552d89dc
15be42c94c
hex79b805b6

2042103222 has 48 divisors (see below), whose sum is σ = 4512046032. Its totient is φ = 667316160.

The previous prime is 2042103211. The next prime is 2042103227. The reversal of 2042103222 is 2223012402.

2042103222 is a `hidden beast` number, since 20 + 421 + 0 + 3 + 222 = 666.

It is a super-3 number, since 3×20421032223 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042103195 and 2042103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042103227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345133 + ... + 350999.

It is an arithmetic number, because the mean of its divisors is an integer number (94000959).

Almost surely, 22042103222 is an apocalyptic number.

2042103222 is an abundant number, since it is smaller than the sum of its proper divisors (2469942810).

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

2042103222 is a wasteful number, since it uses less digits than its factorization.

2042103222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2042103222 is about 45189.6362233643. The cubic root of 2042103222 is about 1268.7008480979.

Adding to 2042103222 its reverse (2223012402), we get a palindrome (4265115624).

The spelling of 2042103222 in words is "two billion, forty-two million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 183 317 366 549 634 951 1098 1902 2853 5706 5867 11734 17601 19337 35202 38674 52803 58011 105606 116022 174033 348066 357887 715774 1073661 1859839 2147322 3220983 3719678 5579517 6441966 11159034 16738551 33477102 113450179 226900358 340350537 680701074 1021051611 2042103222