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226536461016 = 23329738353719
BaseRepresentation
bin1101001011111010100…
…0000001001011011000
3210122201201022120120220
43102332220001023120
512202421313223031
6252022554320040
722236533101365
oct3227650011330
9718651276526
10226536461016
1188089a21118
1237aa2729020
1318492c72708
14ad7053d46c
155d5ce94596
hex34bea012d8

226536461016 has 128 divisors (see below), whose sum is σ = 601062336000. Its totient is φ = 71041840128.

The previous prime is 226536460991. The next prime is 226536461033. The reversal of 226536461016 is 610164635622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4190205 + ... + 4243923.

It is an arithmetic number, because the mean of its divisors is an integer number (4695799500).

Almost surely, 2226536461016 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 226536461016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300531168000).

226536461016 is an abundant number, since it is smaller than the sum of its proper divisors (374525874984).

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

226536461016 is a wasteful number, since it uses less digits than its factorization.

226536461016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53913 (or 53909 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 226536461016 in words is "two hundred twenty-six billion, five hundred thirty-six million, four hundred sixty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 83 87 116 146 166 174 219 232 249 292 332 348 438 498 584 664 696 876 996 1752 1992 2117 2407 4234 4814 6059 6351 7221 8468 9628 12118 12702 14442 16936 18177 19256 24236 25404 28884 36354 48472 50808 53719 57768 72708 107438 145416 161157 175711 214876 322314 351422 429752 527133 644628 702844 1054266 1289256 1405688 1557851 2108532 3115702 3921487 4217064 4458677 4673553 6231404 7842974 8917354 9347106 11764461 12462808 13376031 15685948 17834708 18694212 23528922 26752062 31371896 35669416 37388424 47057844 53504124 94115688 107008248 113723123 129301633 227446246 258603266 325483421 341169369 387904899 454892492 517206532 650966842 682338738 775809798 909784984 976450263 1034413064 1301933684 1364677476 1551619596 1952900526 2603867368 2729354952 3103239192 3905801052 7811602104 9439019209 18878038418 28317057627 37756076836 56634115254 75512153672 113268230508 226536461016