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226521684 = 2235241967
BaseRepresentation
bin11011000000001…
…11001001010100
3120210020111100000
431200013021110
5430442143214
634251051300
75420255034
oct1540071124
9523214300
10226521684
11106958104
1263a40b30
1337c11ccc
14221278c4
1514d47809
hexd807254

226521684 has 72 divisors (see below), whose sum is σ = 596884288. Its totient is φ = 75116160.

The previous prime is 226521683. The next prime is 226521703. The reversal of 226521684 is 486125622.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226521683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233769 + ... + 234735.

Almost surely, 2226521684 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 226521684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298442144).

226521684 is an abundant number, since it is smaller than the sum of its proper divisors (370362604).

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

226521684 is a wasteful number, since it uses less digits than its factorization.

226521684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 226521684 is about 15050.6373286981. The cubic root of 226521684 is about 609.5882592754.

It can be divided in two parts, 22652 and 1684, that added together give a square (24336 = 1562).

The spelling of 226521684 in words is "two hundred twenty-six million, five hundred twenty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 243 324 482 486 723 964 967 972 1446 1934 2169 2892 2901 3868 4338 5802 6507 8676 8703 11604 13014 17406 19521 26028 26109 34812 39042 52218 58563 78084 78327 104436 117126 156654 233047 234252 234981 313308 466094 469962 699141 932188 939924 1398282 2097423 2796564 4194846 6292269 8389692 12584538 18876807 25169076 37753614 56630421 75507228 113260842 226521684