Search a number
-
+
228709656 = 233576
BaseRepresentation
bin11011010000111…
…01010100011000
3120221100122200000
431220131110120
5432022202111
634410013000
75445000000
oct1550352430
9527318600
10228709656
11108111a4a
1264717160
13384c9b76
1422537000
151512ac56
hexda1d518

228709656 has 168 divisors, whose sum is σ = 749423220. Its totient is φ = 65345616.

The previous prime is 228709651. The next prime is 228709667. The reversal of 228709656 is 656907822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228709651) 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 41 ways as a sum of consecutive naturals, for example, 32672805 + ... + 32672811.

Almost surely, 2228709656 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 228709656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374711610).

228709656 is an abundant number, since it is smaller than the sum of its proper divisors (520713564).

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

228709656 is an frugal number, since it uses more digits than its factorization.

228709656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 228709656 is about 15123.1496719433. The cubic root of 228709656 is about 611.5446439773.

The spelling of 228709656 in words is "two hundred twenty-eight million, seven hundred nine thousand, six hundred fifty-six".