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226435895504 = 24713359433201
BaseRepresentation
bin1101001011100010100…
…0011001000011010000
3210122110201002022122022
43102320220121003100
512202220042124004
6252005003031012
722234202232440
oct3227050310320
9718421068568
10226435895504
1188038183825
1237a74b0b468
13184781916b0
14ad61042120
155d5422c2be
hex34b8a190d0

226435895504 has 80 divisors (see below), whose sum is σ = 541467843840. Its totient is φ = 89329305600.

The previous prime is 226435895467. The next prime is 226435895591. The reversal of 226435895504 is 405598534622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306104 + ... + 739304.

It is an arithmetic number, because the mean of its divisors is an integer number (6768348048).

Almost surely, 2226435895504 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 226435895504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270733921920).

226435895504 is an abundant number, since it is smaller than the sum of its proper divisors (315031948336).

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

226435895504 is a wasteful number, since it uses less digits than its factorization.

226435895504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433588 (or 433582 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 53.

The spelling of 226435895504 in words is "two hundred twenty-six billion, four hundred thirty-five million, eight hundred ninety-five thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 359 364 718 728 1436 1456 2513 2872 4667 5026 5744 9334 10052 18668 20104 32669 37336 40208 65338 74672 130676 261352 433201 522704 866402 1732804 3032407 3465608 5631613 6064814 6931216 11263226 12129628 22526452 24259256 39421291 45052904 48518512 78842582 90105808 155519159 157685164 311038318 315370328 622076636 630740656 1088634113 1244153272 2021749067 2177268226 2488306544 4043498134 4354536452 8086996268 8709072904 14152243469 16173992536 17418145808 28304486938 32347985072 56608973876 113217947752 226435895504