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226543440420 = 2232511114415879
BaseRepresentation
bin1101001011111100001…
…0101001001000100100
3210122202012110011112100
43102333002221020210
512202430110043140
6252023404052100
722236646320453
oct3227702511044
9718665404470
10226543440420
1188092958920
1237aa4b34030
131849454743b
14ad71438b9a
155d5d8c2530
hex34bf0a9224

226543440420 has 72 divisors (see below), whose sum is σ = 749652845760. Its totient is φ = 54919621440.

The previous prime is 226543440413. The next prime is 226543440439. The reversal of 226543440420 is 24044345622.

226543440420 is a `hidden beast` number, since 226 + 5 + 4 + 3 + 4 + 4 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 57205960 + ... + 57209919.

It is an arithmetic number, because the mean of its divisors is an integer number (10411845080).

Almost surely, 2226543440420 is an apocalyptic number.

226543440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226543440420 is an abundant number, since it is smaller than the sum of its proper divisors (523109405340).

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

226543440420 is a wasteful number, since it uses less digits than its factorization.

226543440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114415905 (or 114415900 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 226543440420 in words is "two hundred twenty-six billion, five hundred forty-three million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 114415879 228831758 343247637 457663516 572079395 686495274 1029742911 1144158790 1258574669 1372990548 1716238185 2059485822 2288317580 2517149338 3432476370 3775724007 4118971644 5034298676 5148714555 6292873345 6864952740 7551448014 10297429110 11327172021 12585746690 15102896028 18878620035 20594858220 22654344042 25171493380 37757240070 45308688084 56635860105 75514480140 113271720210 226543440420