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225655610416 = 244114915115289
BaseRepresentation
bin1101001000101000011…
…1110101110000110000
3210120110022211201201121
43102022013311300300
512144120314013131
6251355330512024
722205646020005
oct3221207656060
9716408751647
10225655610416
1187777789015
1237897735614
1318382622242
14acc95698ac
155d0a99b911
hex348a1f5c30

225655610416 has 80 divisors (see below), whose sum is σ = 453892824000. Its totient is φ = 108605952000.

The previous prime is 225655610381. The next prime is 225655610419. The reversal of 225655610416 is 614016556522.

It is not an unprimeable number, because it can be changed into a prime (225655610419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14751700 + ... + 14766988.

It is an arithmetic number, because the mean of its divisors is an integer number (5673660300).

Almost surely, 2225655610416 is an apocalyptic number.

It is an amenable number.

225655610416 is an abundant number, since it is smaller than the sum of its proper divisors (228237213584).

225655610416 is a wasteful number, since it uses less digits than its factorization.

225655610416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15638 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 225655610416 in words is "two hundred twenty-five billion, six hundred fifty-five million, six hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 41 82 149 151 164 298 302 328 596 604 656 1192 1208 2384 2416 6109 6191 12218 12382 15289 22499 24436 24764 30578 44998 48872 49528 61156 89996 97744 99056 122312 179992 244624 359984 626849 922459 1253698 1844918 2278061 2308639 2507396 3689836 4556122 4617278 5014792 7379672 9112244 9234556 10029584 14759344 18224488 18469112 36448976 36938224 93400501 94654199 186801002 189308398 343987211 373602004 378616796 687974422 747204008 757233592 1375948844 1494408016 1514467184 2751897688 5503795376 14103475651 28206951302 56413902604 112827805208 225655610416