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226482026080 = 25537127301237
BaseRepresentation
bin1101001011101101100…
…0010111011001100000
3210122120220212222220011
43102323120113121200
512202313344313310
6252013331454304
722235302313062
oct3227330273140
9718526788804
10226482026080
1188061221372
1237a88457394
13184848c37ab
14ad6720d732
155d582e078a
hex34bb617660

226482026080 has 96 divisors (see below), whose sum is σ = 553853776896. Its totient is φ = 87450015744.

The previous prime is 226482026059. The next prime is 226482026083. The reversal of 226482026080 is 80620284622.

226482026080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226482026083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 601222 + ... + 902458.

It is an arithmetic number, because the mean of its divisors is an integer number (5769310176).

Almost surely, 2226482026080 is an apocalyptic number.

226482026080 is a gapful number since it is divisible by the number (20) 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 226482026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276926888448).

226482026080 is an abundant number, since it is smaller than the sum of its proper divisors (327371750816).

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

226482026080 is a wasteful number, since it uses less digits than its factorization.

226482026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301416 (or 301408 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 226482026080 in words is "two hundred twenty-six billion, four hundred eighty-two million, twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 127 148 160 185 254 296 370 508 592 635 740 1016 1184 1270 1480 2032 2540 2960 4064 4699 5080 5920 9398 10160 18796 20320 23495 37592 46990 75184 93980 150368 187960 301237 375920 602474 751840 1204948 1506185 2409896 3012370 4819792 6024740 9639584 11145769 12049480 22291538 24098960 38257099 44583076 48197920 55728845 76514198 89166152 111457690 153028396 178332304 191285495 222915380 306056792 356664608 382570990 445830760 612113584 765141980 891661520 1224227168 1415512663 1530283960 1783323040 2831025326 3060567920 5662050652 6121135840 7077563315 11324101304 14155126630 22648202608 28310253260 45296405216 56620506520 113241013040 226482026080