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2230042133 = 111731372281
BaseRepresentation
bin1000010011101011…
…1011111000010101
312202102012212201002
42010322323320111
514031342322013
61005141313045
7106156021364
oct20472737025
95672185632
102230042133
11a44889730
12522a05785
1329701c877
1417225b7db
15d0ba3358
hex84ebbe15

2230042133 has 48 divisors (see below), whose sum is σ = 2742501888. Its totient is φ = 1790208000.

The previous prime is 2230042121. The next prime is 2230042153. The reversal of 2230042133 is 3312400322.

It is not a de Polignac number, because 2230042133 - 26 = 2230042069 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 (2230042153) 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 47 ways as a sum of consecutive naturals, for example, 7935953 + ... + 7936233.

It is an arithmetic number, because the mean of its divisors is an integer number (57135456).

Almost surely, 22230042133 is an apocalyptic number.

It is an amenable number.

2230042133 is a deficient number, since it is larger than the sum of its proper divisors (512459755).

2230042133 is a wasteful number, since it uses less digits than its factorization.

2230042133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2230042133 is about 47223.3219183064. The cubic root of 2230042133 is about 1306.4847841889.

Adding to 2230042133 its reverse (3312400322), we get a palindrome (5542442455).

The spelling of 2230042133 in words is "two billion, two hundred thirty million, forty-two thousand, one hundred thirty-three".

Divisors: 1 11 17 31 37 187 281 341 407 527 629 1147 1369 3091 4777 5797 6919 8711 10397 12617 15059 19499 23273 42439 52547 95821 114367 148087 176749 214489 256003 322307 384689 466829 721463 1628957 1944239 3545377 4231579 5479219 6539713 7936093 11925359 60271409 71936843 131178949 202731103 2230042133