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245665164 = 2231711310657
BaseRepresentation
bin11101010010010…
…00110110001100
3122010021002020210
432221020312030
51000342241124
640213242420
76042055653
oct1651106614
9563232223
10245665164
11116742968
126a333410
133bb85604
14248ac19a
1516879a29
hexea48d8c

245665164 has 48 divisors (see below), whose sum is σ = 612366048. Its totient is φ = 76382208.

The previous prime is 245665159. The next prime is 245665169. The reversal of 245665164 is 461566542.

It is an interprime number because it is at equal distance from previous prime (245665159) and next prime (245665169).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (245665169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17724 + ... + 28380.

It is an arithmetic number, because the mean of its divisors is an integer number (12757626).

Almost surely, 2245665164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245665164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306183024).

245665164 is an abundant number, since it is smaller than the sum of its proper divisors (366700884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245665164 is a wasteful number, since it uses less digits than its factorization.

245665164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10794 (or 10792 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 245665164 is about 15673.7093248535. The cubic root of 245665164 is about 626.2982413904.

The spelling of 245665164 in words is "two hundred forty-five million, six hundred sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 339 452 678 1356 1921 3842 5763 7684 10657 11526 21314 23052 31971 42628 63942 127884 181169 362338 543507 724676 1087014 1204241 2174028 2408482 3612723 4816964 7225446 14450892 20472097 40944194 61416291 81888388 122832582 245665164