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225223112608 = 251319101282127
BaseRepresentation
bin1101000111000001010…
…1111111011110100000
3210112100012000120021021
43101300111333132200
512142224104100413
6251244400535224
722162144604314
oct3216025773640
9715305016237
10225223112608
118757563700a
1237796921514
1318313b42a90
14ac87d45b44
155cd2a1918d
hex347057f7a0

225223112608 has 96 divisors (see below), whose sum is σ = 507627267840. Its totient is φ = 97502745600.

The previous prime is 225223112599. The next prime is 225223112629. The reversal of 225223112608 is 806211322522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657241 + ... + 939367.

It is an arithmetic number, because the mean of its divisors is an integer number (5287784040).

Almost surely, 2225223112608 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 225223112608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253813633920).

225223112608 is an abundant number, since it is smaller than the sum of its proper divisors (282404155232).

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

225223112608 is a wasteful number, since it uses less digits than its factorization.

225223112608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282270 (or 282262 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 225223112608 in words is "two hundred twenty-five billion, two hundred twenty-three million, one hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 101 104 152 202 208 247 304 404 416 494 608 808 988 1313 1616 1919 1976 2626 3232 3838 3952 5252 7676 7904 10504 15352 21008 24947 30704 42016 49894 61408 99788 199576 282127 399152 564254 798304 1128508 2257016 3667651 4514032 5360413 7335302 9028064 10720826 14670604 21441652 28494827 29341208 42883304 56989654 58682416 69685369 85766608 113979308 117364832 139370738 171533216 227958616 278741476 370432751 455917232 541401713 557482952 740865502 911834464 1082803426 1114965904 1481731004 2165606852 2229931808 2963462008 4331213704 5926924016 7038222269 8662427408 11853848032 14076444538 17324854816 28152889076 56305778152 112611556304 225223112608