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226832697 = 337131943113
BaseRepresentation
bin11011000010100…
…11000100111001
3120210211021222000
431201103010321
5431032121242
634301451213
75423021550
oct1541230471
9523737860
10226832697
1110704a843
1263b70b09
1337cc0740
14221a8d97
1514da9a4c
hexd853139

226832697 has 128 divisors (see below), whose sum is σ = 449433600. Its totient is φ = 109734912.

The previous prime is 226832687. The next prime is 226832713. The reversal of 226832697 is 796238622.

It is not a de Polignac number, because 226832697 - 215 = 226799929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226832687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2007313 + ... + 2007425.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2226832697 is an apocalyptic number.

226832697 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

226832697 is a deficient number, since it is larger than the sum of its proper divisors (222600903).

226832697 is a wasteful number, since it uses less digits than its factorization.

226832697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 226832697 is about 15060.9660048750. The cubic root of 226832697 is about 609.8671187757.

It can be divided in two parts, 226832 and 697, that added together give a square (227529 = 4772).

The spelling of 226832697 in words is "two hundred twenty-six million, eight hundred thirty-two thousand, six hundred ninety-seven".

Divisors: 1 3 7 9 13 19 21 27 39 43 57 63 91 113 117 129 133 171 189 247 273 301 339 351 387 399 513 559 741 791 817 819 903 1017 1161 1197 1469 1677 1729 2147 2223 2373 2451 2457 2709 3051 3591 3913 4407 4859 5031 5187 5719 6441 6669 7119 7353 8127 10283 10621 11739 13221 14577 15029 15093 15561 17157 19323 21357 22059 27911 30849 31863 34013 35217 39663 43731 45087 46683 51471 57969 63167 74347 83733 92321 92547 95589 102039 105651 131193 135261 154413 189501 195377 223041 251199 276963 277641 286767 306117 405783 442169 568503 586131 646247 669123 753597 830889 918351 1200173 1326507 1705509 1758393 1938741 2007369 2492667 3600519 3979521 5275179 5816223 8401211 10801557 11938563 17448669 25203633 32404671 75610899 226832697