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2241137133 = 33612116449
BaseRepresentation
bin1000010110010101…
…0000100111101101
312210012002120012000
42011211100213231
514042212342013
61010215202513
7106352231334
oct20545204755
95705076160
102241137133
11a50077554
12526676439
13299405961
14173908d1b
15d1b45973
hex859509ed

2241137133 has 32 divisors (see below), whose sum is σ = 3391152000. Its totient is φ = 1462406400.

The previous prime is 2241137071. The next prime is 2241137201. The reversal of 2241137133 is 3317311422.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2241137133 is a prime.

It is a super-2 number, since 2×22411371332 = 10045391297822919378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2241137097 and 2241137106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241135133) 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, 344293 + ... + 350741.

It is an arithmetic number, because the mean of its divisors is an integer number (105973500).

Almost surely, 22241137133 is an apocalyptic number.

It is an amenable number.

2241137133 is a deficient number, since it is larger than the sum of its proper divisors (1150014867).

2241137133 is a wasteful number, since it uses less digits than its factorization.

2241137133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6724 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2241137133 is about 47340.6499004819. The cubic root of 2241137133 is about 1308.6478936112.

Adding to 2241137133 its reverse (3317311422), we get a palindrome (5558448555).

The spelling of 2241137133 in words is "two billion, two hundred forty-one million, one hundred thirty-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 27 61 183 211 549 633 1647 1899 5697 6449 12871 19347 38613 58041 115839 174123 347517 393389 1180167 1360739 3540501 4082217 10621503 12246651 36739953 83005079 249015237 747045711 2241137133