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228583912921 = 713196119910891
BaseRepresentation
bin1101010011100010101…
…0011011010111011001
3210212000101221220120221
43110320222123113121
512221114440203141
6253002054320041
722341344126050
oct3247052332731
9725011856527
10228583912921
1188a3a729031
1238374359021
131872b1c2410
14b0c642b397
155e2cacbbd1
hex3538a9b5d9

228583912921 has 64 divisors (see below), whose sum is σ = 302536192000. Its totient is φ = 167667667200.

The previous prime is 228583912919. The next prime is 228583912943. The reversal of 228583912921 is 129219385822.

It is a 9-Lehmer number, since φ(228583912921) divides (228583912921-1)9.

It is a cyclic number.

It is not a de Polignac number, because 228583912921 - 21 = 228583912919 is a prime.

It is the 478105-th Hogben number.

It is not an unprimeable number, because it can be changed into a prime (228583912951) by changing a digit.

It is a nontrivial repunit in base 478104.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20982886 + ... + 20993776.

It is an arithmetic number, because the mean of its divisors is an integer number (4727128000).

Almost surely, 2228583912921 is an apocalyptic number.

It is an amenable number.

228583912921 is a deficient number, since it is larger than the sum of its proper divisors (73952279079).

228583912921 is a wasteful number, since it uses less digits than its factorization.

228583912921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11190.

The product of its digits is 1244160, while the sum is 52.

The spelling of 228583912921 in words is "two hundred twenty-eight billion, five hundred eighty-three million, nine hundred twelve thousand, nine hundred twenty-one".

Divisors: 1 7 13 19 61 91 133 199 247 427 793 1159 1393 1729 2587 3781 5551 8113 10891 12139 15067 18109 26467 49153 76237 84973 105469 141583 157807 206929 230641 344071 664351 991081 1104649 1448503 1614487 2167309 2690077 2998333 4650457 8636563 12622669 15171163 18830539 20988331 28175017 41178871 60455941 88358683 132205849 164094697 197225119 288252097 535325323 925440943 1148662879 1718676037 2511911131 3747277261 12030732259 17583377917 32654844703 228583912921