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202245141 = 37172324631
BaseRepresentation
bin11000000111000…
…00010000010101
3112002120010011210
430003200100111
5403233321031
632022452033
75004024660
oct1403402025
9462503153
10202245141
11a418684a
1257894019
1332b921a7
141cc086d7
1512b4e746
hexc0e0415

202245141 has 32 divisors (see below), whose sum is σ = 340512768. Its totient is φ = 104037120.

The previous prime is 202245103. The next prime is 202245157. The reversal of 202245141 is 141542202.

It is not a de Polignac number, because 202245141 - 26 = 202245077 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202245161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4105 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (10641024).

Almost surely, 2202245141 is an apocalyptic number.

202245141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202245141 is the 8211-st octagonal number.

It is an amenable number.

202245141 is a deficient number, since it is larger than the sum of its proper divisors (138267627).

202245141 is a wasteful number, since it uses less digits than its factorization.

202245141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24681.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 202245141 is about 14221.2918189593. The cubic root of 202245141 is about 586.9836873809.

Adding to 202245141 its reverse (141542202), we get a palindrome (343787343).

The spelling of 202245141 in words is "two hundred two million, two hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 7 17 21 23 51 69 119 161 357 391 483 1173 2737 8211 24631 73893 172417 418727 517251 566513 1256181 1699539 2931089 3965591 8793267 9630721 11896773 28892163 67415047 202245141