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226657641 = 37471311753
BaseRepresentation
bin11011000001010…
…00010101101001
3120210111101211110
431200220111221
5431011021031
634254020533
75421362310
oct1540502551
9523441743
10226657641
11106a40271
1263aa7749
1337c5bb62
1422161277
1514d72c46
hexd828569

226657641 has 32 divisors (see below), whose sum is σ = 355627008. Its totient is φ = 125723520.

The previous prime is 226657637. The next prime is 226657643. The reversal of 226657641 is 146756622.

It is not a de Polignac number, because 226657641 - 22 = 226657637 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 226657641.

It is not an unprimeable number, because it can be changed into a prime (226657643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128421 + ... + 130173.

It is an arithmetic number, because the mean of its divisors is an integer number (11113344).

Almost surely, 2226657641 is an apocalyptic number.

226657641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226657641 is a deficient number, since it is larger than the sum of its proper divisors (128969367).

226657641 is a wasteful number, since it uses less digits than its factorization.

226657641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941.

The product of its digits is 120960, while the sum is 39.

The square root of 226657641 is about 15055.1533037694. The cubic root of 226657641 is about 609.7101919959.

The spelling of 226657641 in words is "two hundred twenty-six million, six hundred fifty-seven thousand, six hundred forty-one".

Divisors: 1 3 7 21 47 131 141 329 393 917 987 1753 2751 5259 6157 12271 18471 36813 43099 82391 129297 229643 247173 576737 688929 1607501 1730211 4822503 10793221 32379663 75552547 226657641