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225254445768 = 2332111911489069
BaseRepresentation
bin1101000111001000110…
…1100001001011001000
3210112102100222110021200
43101302031201023020
512142310114231033
6251251440304200
722163005124532
oct3216215411310
9715370873250
10225254445768
1187591298090
12377a5312060
131831a493801
14ac8c180852
155cd5658013
hex34723612c8

225254445768 has 96 divisors (see below), whose sum is σ = 669009369600. Its totient is φ = 67901500800.

The previous prime is 225254445743. The next prime is 225254445791. The reversal of 225254445768 is 867544452522.

225254445768 is a `hidden beast` number, since 2 + 2 + 5 + 25 + 4 + 44 + 576 + 8 = 666.

225254445768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593263 + ... + 895806.

It is an arithmetic number, because the mean of its divisors is an integer number (6968847600).

Almost surely, 2225254445768 is an apocalyptic number.

It is an amenable number.

225254445768 is an abundant number, since it is smaller than the sum of its proper divisors (443754923832).

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

225254445768 is a wasteful number, since it uses less digits than its factorization.

225254445768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489283 (or 1489276 counting only the distinct ones).

The product of its digits is 21504000, while the sum is 54.

The spelling of 225254445768 in words is "two hundred twenty-five billion, two hundred fifty-four million, four hundred forty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 191 198 264 382 396 573 764 792 1146 1528 1719 2101 2292 3438 4202 4584 6303 6876 8404 12606 13752 16808 18909 25212 37818 50424 75636 151272 1489069 2978138 4467207 5956276 8934414 11912552 13401621 16379759 17868828 26803242 32759518 35737656 49139277 53606484 65519036 98278554 107212968 131038072 147417831 196557108 284412179 294835662 393114216 568824358 589671324 853236537 1137648716 1179342648 1706473074 2275297432 2559709611 3128533969 3412946148 5119419222 6257067938 6825892296 9385601907 10238838444 12514135876 18771203814 20477676888 25028271752 28156805721 37542407628 56313611442 75084815256 112627222884 225254445768