Search a number
-
+
295227972 = 2232132932153
BaseRepresentation
bin10001100110001…
…101001001000100
3202120112010122100
4101212031021010
51101034243342
645143432100
710213252644
oct2146151104
9676463570
10295227972
11141715166
1282a55630
1349219a10
142b2d0524
151adb9e4c
hex1198d244

295227972 has 72 divisors (see below), whose sum is σ = 806793624. Its totient is φ = 90487296.

The previous prime is 295227971. The next prime is 295227991. The reversal of 295227972 is 279722592.

It is a happy number.

295227972 is digitally balanced in base 3, 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 4 ways, for example, as 13793796 + 281434176 = 3714^2 + 16776^2 .

It is not an unprimeable number, because it can be changed into a prime (295227971) 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, 136048 + ... + 138200.

It is an arithmetic number, because the mean of its divisors is an integer number (11205467).

Almost surely, 2295227972 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 295227972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403396812).

295227972 is an abundant number, since it is smaller than the sum of its proper divisors (511565652).

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

295227972 is a wasteful number, since it uses less digits than its factorization.

295227972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2464 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 295227972 is about 17182.1992771589. The cubic root of 295227972 is about 665.8644585248.

The spelling of 295227972 in words is "two hundred ninety-five million, two hundred twenty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 293 468 586 879 1172 1758 2153 2637 3516 3809 4306 5274 6459 7618 8612 10548 11427 12918 15236 19377 22854 25836 27989 34281 38754 45708 55978 68562 77508 83967 111956 137124 167934 251901 335868 503802 630829 1007604 1261658 1892487 2523316 3784974 5677461 7569948 8200777 11354922 16401554 22709844 24602331 32803108 49204662 73806993 98409324 147613986 295227972