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223090137 = 32113219361
BaseRepresentation
bin11010100110000…
…01010111011001
3120112210011010200
431103001113121
5424102341022
634045332413
75346143364
oct1523012731
9515704120
10223090137
11104a23a16
1262867109
13372b00ca
14218b30db
15148babac
hexd4c15d9

223090137 has 12 divisors (see below), whose sum is σ = 325094484. Its totient is φ = 147409920.

The previous prime is 223090097. The next prime is 223090141. The reversal of 223090137 is 731090322.

223090137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99680256 + 123409881 = 9984^2 + 11109^2 .

It is not a de Polignac number, because 223090137 - 26 = 223090073 is a prime.

It is a super-3 number, since 3×2230901373 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223090137.

It is not an unprimeable number, because it can be changed into a prime (223090157) 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, 108664 + ... + 110697.

It is an arithmetic number, because the mean of its divisors is an integer number (27091207).

Almost surely, 2223090137 is an apocalyptic number.

It is an amenable number.

223090137 is a deficient number, since it is larger than the sum of its proper divisors (102004347).

223090137 is a wasteful number, since it uses less digits than its factorization.

223090137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219480 (or 219477 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 223090137 is about 14936.2022281435. The cubic root of 223090137 is about 606.4943928118.

The spelling of 223090137 in words is "two hundred twenty-three million, ninety thousand, one hundred thirty-seven".

Divisors: 1 3 9 113 339 1017 219361 658083 1974249 24787793 74363379 223090137