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2252132141 = 72971156257
BaseRepresentation
bin1000011000111100…
…1100111100101101
312210221210011111112
42012033030330231
514103021212031
61011251001405
7106544543630
oct20617147455
95727704445
102252132141
11a562a7236
1252a299265
1329b78538c
1417516bc17
15d2ab862b
hex863ccf2d

2252132141 has 16 divisors (see below), whose sum is σ = 2700138240. Its totient is φ = 1837570560.

The previous prime is 2252132131. The next prime is 2252132159. The reversal of 2252132141 is 1412312522.

It is not a de Polignac number, because 2252132141 - 214 = 2252115757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252132131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63716 + ... + 92541.

It is an arithmetic number, because the mean of its divisors is an integer number (168758640).

Almost surely, 22252132141 is an apocalyptic number.

It is an amenable number.

2252132141 is a deficient number, since it is larger than the sum of its proper divisors (448006099).

2252132141 is a wasteful number, since it uses less digits than its factorization.

2252132141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156364.

The product of its digits is 960, while the sum is 23.

The square root of 2252132141 is about 47456.6343201875. The cubic root of 2252132141 is about 1310.7844768137.

Adding to 2252132141 its reverse (1412312522), we get a palindrome (3664444663).

The spelling of 2252132141 in words is "two billion, two hundred fifty-two million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 7 29 71 203 497 2059 14413 156257 1093799 4531453 11094247 31720171 77659729 321733163 2252132141