Search a number
-
+
332222100042 = 23721831617153
BaseRepresentation
bin1001101010110011111…
…10101111001001001010
31011202112010111022022210
410311121332233021022
520420342324200132
6412342024325550
733000526154100
oct4653176571112
91152463438283
10332222100042
11118992794a48
12544786138b6
13254366925b1
141211873bc70
15899641cbcc
hex4d59faf24a

332222100042 has 48 divisors (see below), whose sum is σ = 773348271552. Its totient is φ = 94868605440.

The previous prime is 332222100037. The next prime is 332222100043. The reversal of 332222100042 is 240001222233.

It is a super-3 number, since 3×3322221000423 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 332222099991 and 332222100018.

It is not an unprimeable number, because it can be changed into a prime (332222100043) 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, 229738 + ... + 846890.

It is an arithmetic number, because the mean of its divisors is an integer number (16111422324).

Almost surely, 2332222100042 is an apocalyptic number.

332222100042 is an abundant number, since it is smaller than the sum of its proper divisors (441126171510).

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

332222100042 is a wasteful number, since it uses less digits than its factorization.

332222100042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619003 (or 618996 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 332222100042 its reverse (240001222233), we get a palindrome (572223322275).

The spelling of 332222100042 in words is "three hundred thirty-two billion, two hundred twenty-two million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1831 3662 5493 10986 12817 25634 38451 76902 89719 179438 269157 538314 617153 1234306 1851459 3702918 4320071 8640142 12960213 25920426 30240497 60480994 90721491 181442982 1130007143 2260014286 3390021429 6780042858 7910050001 15820100002 23730150003 47460300006 55370350007 110740700014 166111050021 332222100042