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226401545524 = 2271117170925301
BaseRepresentation
bin1101001011011010010…
…1010110110100110100
3210122101022110011022211
43102312211112310310
512202132243424044
6252001334503204
722233304245640
oct3226645266464
9718338404284
10226401545524
118801a852110
1237a65504b04
131847102576b
14ad5a65dc20
155d511e4634
hex34b6956d34

226401545524 has 96 divisors (see below), whose sum is σ = 523350616320. Its totient is φ = 82967808000.

The previous prime is 226401545519. The next prime is 226401545543. The reversal of 226401545524 is 425545104622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8935674 + ... + 8960974.

It is an arithmetic number, because the mean of its divisors is an integer number (5451568920).

Almost surely, 2226401545524 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 226401545524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261675308160).

226401545524 is an abundant number, since it is smaller than the sum of its proper divisors (296949070796).

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

226401545524 is a wasteful number, since it uses less digits than its factorization.

226401545524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27049 (or 27047 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 226401545524 in words is "two hundred twenty-six billion, four hundred one million, five hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 1709 2618 3418 5236 6836 11963 18799 23926 25301 29053 37598 47852 50602 58106 75196 101204 116212 131593 177107 203371 263186 278311 319583 354214 406742 430117 526372 556622 639166 708428 813484 860234 1113244 1278332 1720468 1948177 2237081 3010819 3896354 4474162 4731287 6021638 7792708 8948324 9462574 12043276 18925148 33119009 43239409 66238018 86478818 132476036 172957636 302675863 475633499 605351726 735069953 951266998 1210703452 1470139906 1902533996 2940279812 3329434493 5145489671 6658868986 8085769483 10290979342 13317737972 16171538966 20581958684 32343077932 56600386381 113200772762 226401545524