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225123242512 = 2473229271661
BaseRepresentation
bin1101000110101001100…
…1000001001000010000
3210112002020002122020211
43101222121001020100
512142023022230022
6251230432213504
722156522663000
oct3215231011020
9715066078224
10225123242512
1187524224143
123776939a294
13182c924644c
14ac7898a000
155cc8d8ce77
hex346a641210

225123242512 has 160 divisors (see below), whose sum is σ = 513542528000. Its totient is φ = 95560819200.

The previous prime is 225123242507. The next prime is 225123242581. The reversal of 225123242512 is 215242321522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340579462 + ... + 340580122.

It is an arithmetic number, because the mean of its divisors is an integer number (3209640800).

Almost surely, 2225123242512 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 225123242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256771264000).

225123242512 is an abundant number, since it is smaller than the sum of its proper divisors (288419285488).

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

225123242512 is a wasteful number, since it uses less digits than its factorization.

225123242512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1170 counting only the distinct ones).

The product of its digits is 19200, while the sum is 31.

The spelling of 225123242512 in words is "two hundred twenty-five billion, one hundred twenty-three million, two hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 229 271 343 392 458 542 661 686 784 916 1084 1322 1372 1603 1832 1897 2168 2644 2744 3206 3664 3794 4336 4627 5288 5488 6412 7588 9254 10576 11221 12824 13279 15176 18508 22442 25648 26558 30352 32389 37016 44884 53116 62059 64778 74032 78547 89768 92953 106232 124118 129556 151369 157094 179131 179536 185906 212464 226723 248236 259112 302738 314188 358262 371812 434413 453446 496472 518224 605476 628376 716524 743624 868826 906892 992944 1059583 1210952 1253917 1256752 1433048 1487248 1737652 1813784 2119166 2421904 2507834 2866096 3040891 3475304 3627568 4238332 5015668 6081782 6950608 7417081 8476664 8777419 10031336 12163564 14834162 16953328 17554838 20062672 21286237 24327128 29668324 35109676 41020999 42572474 48654256 51919567 59336648 61441933 70219352 82041998 85144948 103839134 118673296 122883866 140438704 164083996 170289896 207678268 245767732 287146993 328167992 340579792 415356536 491535464 574293986 656335984 830713072 983070928 1148587972 2010028951 2297175944 4020057902 4594351888 8040115804 14070202657 16080231608 28140405314 32160463216 56280810628 112561621256 225123242512