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226465256646 = 2341973575457
BaseRepresentation
bin1101001011101001100…
…0011001010011000110
3210122112202100000120000
43102322120121103012
512202300101203041
6252011532222130
722235006630436
oct3227230312306
9718482300500
10226465256646
1188052808232
1237a8290a946
13184812a1955
14ad64cc62c6
155d56acbbb6
hex34ba6194c6

226465256646 has 40 divisors (see below), whose sum is σ = 534157825080. Its totient is φ = 71515343232.

The previous prime is 226465256639. The next prime is 226465256683. The reversal of 226465256646 is 646652564622.

226465256646 is a `hidden beast` number, since 2 + 26 + 4 + 6 + 52 + 566 + 4 + 6 = 666.

It is a super-4 number, since 4×2264652566464 (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 226465256592 and 226465256601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36784651 + ... + 36790806.

It is an arithmetic number, because the mean of its divisors is an integer number (13353945627).

Almost surely, 2226465256646 is an apocalyptic number.

226465256646 is an abundant number, since it is smaller than the sum of its proper divisors (307692568434).

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

226465256646 is a wasteful number, since it uses less digits than its factorization.

226465256646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73575490 (or 73575481 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 226465256646 in words is "two hundred twenty-six billion, four hundred sixty-five million, two hundred fifty-six thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 73575457 147150914 220726371 441452742 662179113 1324358226 1397933683 1986537339 2795867366 3973074678 4193801049 5959612017 8387602098 11919224034 12581403147 25162806294 37744209441 75488418882 113232628323 226465256646