Search a number
-
+
11154528225 = 345223472
BaseRepresentation
bin10100110001101110…
…01001011111100001
31001210101012202010000
422120313021133201
5140321024400400
65042504130213
7543263632311
oct123067113741
931711182100
1011154528225
114804493175
1221b3766969
131089c50679
1477b617441
15454415600
hex298dc97e1

11154528225 has 45 divisors (see below), whose sum is σ = 20670849507. Its totient is φ = 5946546960.

The previous prime is 11154528199. The next prime is 11154528233. The reversal of 11154528225 is 52282545111.

The square root of 11154528225 is 105615.

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

11154528225 is a `hidden beast` number, since 1 + 11 + 545 + 2 + 82 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4015630161 + 7138898064 = 63369^2 + 84492^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 11154528225 - 229 = 10617657313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11154528225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4751502 + ... + 4753848.

Almost surely, 211154528225 is an apocalyptic number.

11154528225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11154528225 is the 105615-th square number.

11154528225 is the 52808-th centered octagonal number.

It is an amenable number.

11154528225 is a deficient number, since it is larger than the sum of its proper divisors (9516321282).

11154528225 is an frugal number, since it uses more digits than its factorization.

11154528225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 2355 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

Multiplying 11154528225 by its sum of digits (36), we get a square (401563016100 = 6336902).

The spelling of 11154528225 in words is "eleven billion, one hundred fifty-four million, five hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2347 7041 11735 21123 35205 58675 63369 105615 176025 190107 316845 528075 950535 1584225 4752675 5508409 16525227 27542045 49575681 82626135 137710225 148727043 247878405 413130675 446181129 743635215 1239392025 2230905645 3718176075 11154528225