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68228052025 = 52721724392
BaseRepresentation
bin111111100010101101…
…010111010000111001
320112002221010011012211
4333202231113100321
52104212340131100
651202111535121
74633516605400
oct774255272071
9215087104184
1068228052025
1126a31a58361
121128152a4a1
1365842c9a23
143433562637
151b94c991ba
hexfe2b57439

68228052025 has 81 divisors (see below), whose sum is σ = 104783854509. Its totient is φ = 43932591360.

The previous prime is 68228052017. The next prime is 68228052037. The reversal of 68228052025 is 52025082286.

It is a happy number.

The square root of 68228052025 is 261205.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1595922601 + 66632129424 = 39949^2 + 258132^2 .

It is not a de Polignac number, because 68228052025 - 23 = 68228052017 is a prime.

It is a super-2 number, since 2×682280520252 (a number of 22 digits) contains 22 as substring.

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, 155416756 + ... + 155417194.

Almost surely, 268228052025 is an apocalyptic number.

68228052025 is the 261205-th square number.

68228052025 is the 130603-rd centered octagonal number.

It is an amenable number.

68228052025 is a deficient number, since it is larger than the sum of its proper divisors (36555802484).

68228052025 is an equidigital number, since it uses as much as digits as its factorization.

68228052025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 68228052025 in words is "sixty-eight billion, two hundred twenty-eight million, fifty-two thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 289 425 439 595 833 1225 1445 2023 2195 2975 3073 4165 7225 7463 10115 10975 14161 15365 20825 21511 37315 50575 52241 70805 76825 107555 126871 186575 192721 261205 354025 365687 537775 634355 888097 963605 1306025 1349047 1828435 3171775 3276257 4440485 4818025 6216679 6745235 9142175 9443329 16381285 22202425 22933799 31083395 33726175 47216645 55696369 81906425 114668995 155416975 160536593 236083225 278481845 389874583 573344975 802682965 1392409225 1949372915 2729122081 4013414825 9746864575 13645610405 68228052025