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2792458234225 = 5211223213212
BaseRepresentation
bin101000101000101011011…
…110110010100101110001
3100212221211012211012020101
4220220223132302211301
5331222423301443400
65534500531112401
7405514501232542
oct50505336624561
910787735735211
102792458234225
11987302968300
12391244742701
13173434bbb53a
14992273504c9
154c98913c56a
hex28a2b7b2971

2792458234225 has 81 divisors (see below), whose sum is σ = 3981740820897. Its totient is φ = 1941109104000.

The previous prime is 2792458234193. The next prime is 2792458234273. The reversal of 2792458234225 is 5224328542972.

The square root of 2792458234225 is 1671065.

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

2792458234225 is digitally balanced in base 2, 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 360442936161 + 2432015298064 = 600369^2 + 1559492^2 .

It is not a de Polignac number, because 2792458234225 - 25 = 2792458234193 is a prime.

It is a super-2 number, since 2×27924582342252 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2113896565 + ... + 2113897885.

Almost surely, 22792458234225 is an apocalyptic number.

2792458234225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2792458234225 is the 1671065-th square number.

2792458234225 is the 835533-rd centered octagonal number.

It is an amenable number.

2792458234225 is a deficient number, since it is larger than the sum of its proper divisors (1189282586672).

2792458234225 is an equidigital number, since it uses as much as digits as its factorization.

2792458234225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 1360 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 55.

The spelling of 2792458234225 in words is "two trillion, seven hundred ninety-two billion, four hundred fifty-eight million, two hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 11 23 25 55 115 121 253 275 529 575 605 1265 1321 2645 2783 3025 5819 6325 6605 13225 13915 14531 29095 30383 33025 64009 69575 72655 145475 151915 159841 320045 334213 363275 698809 759575 799205 1600225 1671065 1745041 3494045 3676343 3996025 7686899 8355325 8725205 17470225 18381715 19195451 38434495 40135943 43626025 84555889 91908575 95977255 192172475 200679715 211149961 422779445 441495373 479886275 923126689 1003398575 1055749805 2113897225 2207476865 4615633445 4856449103 5278749025 10154393579 11037384325 23078167225 24282245515 50771967895 111698329369 121411227575 253859839475 558491646845 2792458234225