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1097928225 = 3252474
BaseRepresentation
bin100000101110001…
…0000111000100001
32211111221112101100
41001130100320201
54222032200400
6300540225013
736131143632
oct10134207041
92744845340
101097928225
1151382a7a9
1226783b169
13146606994
14a5b5d889
15665c7100
hex41710e21

1097928225 has 45 divisors (see below), whose sum is σ = 2009261683. Its totient is φ = 573102960.

The previous prime is 1097928193. The next prime is 1097928229. The reversal of 1097928225 is 5228297901.

It is a happy number.

The square root of 1097928225 is 33135.

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

It can be written as a sum of positive squares in only one way, i.e., 395254161 + 702674064 = 19881^2 + 26508^2 .

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

It is not a de Polignac number, because 1097928225 - 25 = 1097928193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1097928229) 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 44 ways as a sum of consecutive naturals, for example, 23360152 + ... + 23360198.

Almost surely, 21097928225 is an apocalyptic number.

1097928225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1097928225 is the 33135-th square number.

1097928225 is the 16568-th centered octagonal number.

It is an amenable number.

1097928225 is a deficient number, since it is larger than the sum of its proper divisors (911333458).

1097928225 is an frugal number, since it uses more digits than its factorization.

1097928225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The cubic root of 1097928225 is about 1031.6316317560.

It can be divided in two parts, 10979 and 28225, that added together give a square (39204 = 1982).

The spelling of 1097928225 in words is "one billion, ninety-seven million, nine hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 2115 2209 3525 6627 10575 11045 19881 33135 55225 99405 103823 165675 311469 497025 519115 934407 1557345 2595575 4672035 4879681 7786725 14639043 23360175 24398405 43917129 73195215 121992025 219585645 365976075 1097928225