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226720385127 = 33231495214703
BaseRepresentation
bin1101001100100110010…
…1101000100001100111
3210200012112101220001000
43103021211220201213
512203310404311002
6252053124404343
722244225322315
oct3231145504147
9720175356030
10226720385127
1188173824015
1237b342466b3
13184c20bb752
14ad8ab390b5
155d6e1c561c
hex34c9968867

226720385127 has 64 divisors (see below), whose sum is σ = 353590272000. Its totient is φ = 143298904320.

The previous prime is 226720385119. The next prime is 226720385137. The reversal of 226720385127 is 721583027622.

226720385127 is a `hidden beast` number, since 2 + 267 + 2 + 0 + 385 + 1 + 2 + 7 = 666.

It is not a de Polignac number, because 226720385127 - 23 = 226720385119 is a prime.

It is a super-2 number, since 2×2267203851272 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226720385137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48205258 + ... + 48209960.

It is an arithmetic number, because the mean of its divisors is an integer number (5524848000).

Almost surely, 2226720385127 is an apocalyptic number.

226720385127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

226720385127 is a deficient number, since it is larger than the sum of its proper divisors (126869886873).

226720385127 is a wasteful number, since it uses less digits than its factorization.

226720385127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 226720385127 in words is "two hundred twenty-six billion, seven hundred twenty million, three hundred eighty-five thousand, one hundred twenty-seven".

Divisors: 1 3 9 23 27 69 149 207 447 521 621 1341 1563 3427 4023 4689 4703 10281 11983 14067 14109 30843 35949 42327 77629 92529 107847 108169 126981 232887 323541 324507 698661 700747 973521 1785467 2095983 2102241 2450263 2920563 5356401 6306723 7350789 16069203 16117181 18920169 22052367 48207609 48351543 56356049 66157101 145054629 169068147 365089187 435163887 507204441 1095267561 1521613323 3285802683 8397051301 9857408049 25191153903 75573461709 226720385127