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225319159808 = 2111726172
BaseRepresentation
bin1101000111011000010…
…0011000100000000000
3210112120212202021020222
43101312010120200000
512142423201103213
6251302111322212
722164422154311
oct3216604304000
9715525667228
10225319159808
1187614878766
1237802b20368
131832aa01342
14ac969c8608
155cdb18c808
hex3476118800

225319159808 has 108 divisors (see below), whose sum is σ = 479365814655. Its totient is φ = 105860694016.

The previous prime is 225319159799. The next prime is 225319159837. The reversal of 225319159808 is 808951913522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 45570294784 + 179748865024 = 213472^2 + 423968^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335648.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225319159808.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 365184716 + ... + 365185332.

Almost surely, 2225319159808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225319159808

225319159808 is an abundant number, since it is smaller than the sum of its proper divisors (254046654847).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225319159808 is an frugal number, since it uses more digits than its factorization.

225319159808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 53.

The spelling of 225319159808 in words is "two hundred twenty-five billion, three hundred nineteen million, one hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 617 1024 1088 1156 1234 2048 2176 2312 2468 4352 4624 4936 8704 9248 9872 10489 17408 18496 19744 20978 34816 36992 39488 41956 73984 78976 83912 147968 157952 167824 178313 295936 315904 335648 356626 380689 591872 631808 671296 713252 761378 1263616 1342592 1426504 1522756 2685184 2853008 3045512 5370368 5706016 6091024 6471713 10740736 11412032 12182048 12943426 21481472 22824064 24364096 25886852 45648128 48728192 51773704 91296256 97456384 103547408 110019121 182592512 194912768 207094816 220038242 365185024 389825536 414189632 440076484 779651072 828379264 880152968 1656758528 1760305936 3313517056 3520611872 6627034112 7041223744 13254068224 14082447488 28164894976 56329789952 112659579904 225319159808