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225353802884 = 227171636314603
BaseRepresentation
bin1101000111100000100…
…0100010010010000100
3210112200021221022121212
43101320020202102010
512143011033143014
6251305350030552
722165322501450
oct3217010422204
9715607838555
10225353802884
118763238a601
1237812648458
1318334c407c2
14ac9b445660
155cde23223e
hex3478222484

225353802884 has 96 divisors (see below), whose sum is σ = 481012955136. Its totient is φ = 90178583040.

The previous prime is 225353802827. The next prime is 225353802887. The reversal of 225353802884 is 488208353522.

It is a super-3 number, since 3×2253538028843 (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225353802887) by changing a digit.

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, 48955727 + ... + 48960329.

It is an arithmetic number, because the mean of its divisors is an integer number (5010551616).

Almost surely, 2225353802884 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 225353802884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240506477568).

225353802884 is an abundant number, since it is smaller than the sum of its proper divisors (255659152252).

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

225353802884 is a wasteful number, since it uses less digits than its factorization.

225353802884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 50.

The spelling of 225353802884 in words is "two hundred twenty-five billion, three hundred fifty-three million, eight hundred two thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 163 238 326 476 631 652 1141 1262 2282 2524 2771 4417 4564 4603 5542 8834 9206 10727 11084 17668 18412 19397 21454 32221 38794 42908 64442 75089 77588 78251 102853 128884 150178 156502 205706 300356 313004 411412 547757 719971 750289 1095514 1439942 1500578 1748501 2191028 2879884 2904493 3001156 3497002 5252023 5808986 6994004 10504046 11617972 12239507 12754913 20331451 21008092 24479014 25509826 40662902 48958028 49376381 51019652 81325804 89284391 98752762 178568782 197505524 345634667 357137564 473432359 691269334 946864718 1382538668 1893729436 3314026513 6628053026 8048350103 13256106052 16096700206 32193400412 56338450721 112676901442 225353802884