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226656045 = 32571165413
BaseRepresentation
bin11011000001001…
…11111100101101
3120210111022122100
431200213330231
5431010443140
634254005313
75421354540
oct1540477455
9523438570
10226656045
11106a3a050
1263aa6839
1337c5b205
1422160857
1514d72530
hexd827f2d

226656045 has 48 divisors (see below), whose sum is σ = 489820032. Its totient is φ = 94193280.

The previous prime is 226656013. The next prime is 226656047. The reversal of 226656045 is 540656622.

It is not a de Polignac number, because 226656045 - 25 = 226656013 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226656047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29242 + ... + 36171.

It is an arithmetic number, because the mean of its divisors is an integer number (10204584).

Almost surely, 2226656045 is an apocalyptic number.

It is an amenable number.

226656045 is an abundant number, since it is smaller than the sum of its proper divisors (263163987).

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

226656045 is a wasteful number, since it uses less digits than its factorization.

226656045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65442 (or 65439 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 226656045 is about 15055.1002985699. The cubic root of 226656045 is about 609.7087609099.

It can be divided in two parts, 2266 and 56045, that added together give a triangular number (58311 = T341).

The spelling of 226656045 in words is "two hundred twenty-six million, six hundred fifty-six thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 65413 196239 327065 457891 588717 719543 981195 1373673 2158629 2289455 2943585 3597715 4121019 5036801 6475887 6868365 10793145 15110403 20605095 25184005 32379435 45331209 75552015 226656045