Search a number
-
+
65144226 = 2372435153
BaseRepresentation
bin1111100010000…
…0010110100010
311112120200002010
43320200112202
5113134103401
610244133350
71420500600
oct370402642
9145520063
1065144226
1133854904
1219997256
131065b5a4
14891a870
155abbed6
hex3e205a2

65144226 has 48 divisors (see below), whose sum is σ = 155114784. Its totient is φ = 18176256.

The previous prime is 65144213. The next prime is 65144227. The reversal of 65144226 is 62244156.

It is a super-2 number, since 2×651442262 = 8487540362278152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65144193 and 65144202.

It is not an unprimeable number, because it can be changed into a prime (65144227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10066 + ... + 15218.

It is an arithmetic number, because the mean of its divisors is an integer number (3231558).

Almost surely, 265144226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65144226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77557392).

65144226 is an abundant number, since it is smaller than the sum of its proper divisors (89970558).

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

65144226 is a wasteful number, since it uses less digits than its factorization.

65144226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5208 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 65144226 is about 8071.1973089499. The cubic root of 65144226 is about 402.3697373052.

The spelling of 65144226 in words is "sixty-five million, one hundred forty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 5153 6321 10306 12642 15459 30918 36071 72142 108213 216426 221579 252497 443158 504994 664737 757491 1329474 1514982 1551053 3102106 4653159 9306318 10857371 21714742 32572113 65144226