Search a number
-
+
226754058969 = 3217293372
BaseRepresentation
bin1101001100101110011…
…0000101101011011001
3210200021212202200212100
43103023212011223121
512203343014341334
6252100330234013
722245114461634
oct3231346055331
9720255680770
10226754058969
1188190833739
1237b43585909
13184c907b9b9
14ad913c2c1b
155d72127c99
hex34cb985ad9

226754058969 has 27 divisors (see below), whose sum is σ = 347970927837. Its totient is φ = 142261818624.

The previous prime is 226754058961. The next prime is 226754058977. The reversal of 226754058969 is 969850457622.

The square root of 226754058969 is 476187.

It is a perfect power (a square), and thus also a powerful number.

226754058969 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 5 + 40 + 589 + 6 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (226754058961) and next prime (226754058977).

It can be written as a sum of positive squares in 4 ways, for example, as 128584636569 + 98169422400 = 358587^2 + 313320^2 .

It is not a de Polignac number, because 226754058969 - 23 = 226754058961 is a prime.

It is a super-2 number, since 2×2267540589692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226754058961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24280869 + ... + 24290205.

Almost surely, 2226754058969 is an apocalyptic number.

226754058969 is the 476187-th square number.

226754058969 is the 238094-th centered octagonal number.

It is an amenable number.

226754058969 is a deficient number, since it is larger than the sum of its proper divisors (121216868868).

226754058969 is an frugal number, since it uses more digits than its factorization.

226754058969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18714 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

It can be divided in two parts, 226 and 754058969, that added together give a triangular number (754059195 = T38834).

The spelling of 226754058969 in words is "two hundred twenty-six billion, seven hundred fifty-four million, fifty-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 9337 28011 84033 158729 476187 1428561 2698393 8095179 24285537 87179569 261538707 784616121 1482052673 4446158019 13338474057 25194895441 75584686323 226754058969