Search a number
-
+
256226766 = 23431516577
BaseRepresentation
bin11110100010110…
…11010111001110
3122212010200001020
433101123113032
51011043224031
641231455010
76230614545
oct1721332716
9585120036
10256226766
111216a6a64
1271987466
1341112993
142605b15c
1517764096
hexf45b5ce

256226766 has 32 divisors (see below), whose sum is σ = 527923968. Its totient is φ = 82857600.

The previous prime is 256226741. The next prime is 256226791. The reversal of 256226766 is 667622652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (256226741) and next prime (256226791).

It is a super-2 number, since 2×2562267662 = 131304311229637512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35670 + ... + 42246.

It is an arithmetic number, because the mean of its divisors is an integer number (16497624).

Almost surely, 2256226766 is an apocalyptic number.

256226766 is an abundant number, since it is smaller than the sum of its proper divisors (271697202).

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

256226766 is a wasteful number, since it uses less digits than its factorization.

256226766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776.

The product of its digits is 362880, while the sum is 42.

The square root of 256226766 is about 16007.0848688948. The cubic root of 256226766 is about 635.1478490956.

The spelling of 256226766 in words is "two hundred fifty-six million, two hundred twenty-six thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 43 86 129 151 258 302 453 906 6493 6577 12986 13154 19479 19731 38958 39462 282811 565622 848433 993127 1696866 1986254 2979381 5958762 42704461 85408922 128113383 256226766