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226868152056 = 233713148769857
BaseRepresentation
bin1101001101001001100…
…1010100011011111000
3210200120211110020011020
43103102121110123320
512204111221331211
6252115523502440
722251001321560
oct3232231243370
9720524406136
10226868152056
118823a180547
1237b75827a20
13185168b80c0
14ada2601da0
155d7c163306
hex34d26546f8

226868152056 has 128 divisors (see below), whose sum is σ = 698535290880. Its totient is φ = 59792265216.

The previous prime is 226868152039. The next prime is 226868152079. The reversal of 226868152056 is 650251868622.

226868152056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212680 + ... + 3282536.

It is an arithmetic number, because the mean of its divisors is an integer number (5457306960).

Almost surely, 2226868152056 is an apocalyptic number.

226868152056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226868152056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349267645440).

226868152056 is an abundant number, since it is smaller than the sum of its proper divisors (471667138824).

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

226868152056 is a wasteful number, since it uses less digits than its factorization.

226868152056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71373 (or 71369 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 226868152056 in words is "two hundred twenty-six billion, eight hundred sixty-eight million, one hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 1487 2184 2974 4461 5948 8922 10409 11896 17844 19331 20818 31227 35688 38662 41636 57993 62454 69857 77324 83272 115986 124908 135317 139714 154648 209571 231972 249816 270634 279428 405951 419142 463944 488999 541268 558856 811902 838284 908141 977998 1082536 1466997 1623804 1676568 1816282 1955996 2724423 2933994 3247608 3632564 3911992 5448846 5867988 6356987 7265128 10897692 11735976 12713974 19070961 21795384 25427948 38141922 50855896 76283844 103877359 152567688 207754718 311632077 415509436 623264154 727141513 831018872 1246528308 1350405667 1454283026 2181424539 2493056616 2700811334 2908566052 4051217001 4362849078 5401622668 5817132104 8102434002 8725698156 9452839669 10803245336 16204868004 17451396312 18905679338 28358519007 32409736008 37811358676 56717038014 75622717352 113434076028 226868152056