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224102234133 = 32160571550741
BaseRepresentation
bin1101000010110110001…
…0001011100000010101
3210102110001220001001200
43100231202023200111
512132430132443013
6250541240343113
722122314363121
oct3205542134025
9712401801050
10224102234133
118704a961468
1237523474a99
1318195861b8b
14abbd130581
155c6940be73
hex342d88b815

224102234133 has 12 divisors (see below), whose sum is σ = 323723595468. Its totient is φ = 149392088640.

The previous prime is 224102234123. The next prime is 224102234197. The reversal of 224102234133 is 331432201422.

224102234133 is a `hidden beast` number, since 2 + 2 + 410 + 2 + 234 + 13 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31137072849 + 192965161284 = 176457^2 + 439278^2 .

It is not a de Polignac number, because 224102234133 - 24 = 224102234117 is a prime.

It is a super-2 number, since 2×2241022341332 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224102234097 and 224102234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224102234123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630858 + ... + 919883.

It is an arithmetic number, because the mean of its divisors is an integer number (26976966289).

Almost surely, 2224102234133 is an apocalyptic number.

It is an amenable number.

224102234133 is a deficient number, since it is larger than the sum of its proper divisors (99621361335).

224102234133 is a wasteful number, since it uses less digits than its factorization.

224102234133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566804 (or 1566801 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 224102234133 its reverse (331432201422), we get a palindrome (555534435555).

The spelling of 224102234133 in words is "two hundred twenty-four billion, one hundred two million, two hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 16057 48171 144513 1550741 4652223 13956669 24900248237 74700744711 224102234133