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226356084 = 223237169937
BaseRepresentation
bin11010111110111…
…10101101110100
3120202221002011200
431133132231310
5430421343314
634243332500
75415665163
oct1537365564
9522832150
10226356084
11106854749
1263981130
1337b84816
14220c33da
1514d13709
hexd7deb74

226356084 has 36 divisors (see below), whose sum is σ = 587645604. Its totient is φ = 73412352.

The previous prime is 226356043. The next prime is 226356113. The reversal of 226356084 is 480653622.

226356084 is a `hidden beast` number, since 226 + 356 + 0 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156800484 + 69555600 = 12522^2 + 8340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83637 + ... + 86300.

It is an arithmetic number, because the mean of its divisors is an integer number (16323489).

Almost surely, 2226356084 is an apocalyptic number.

It is an amenable number.

226356084 is an abundant number, since it is smaller than the sum of its proper divisors (361289520).

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

226356084 is a wasteful number, since it uses less digits than its factorization.

226356084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169984 (or 169979 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226356084 is about 15045.1348947093. The cubic root of 226356084 is about 609.4396753761.

The spelling of 226356084 in words is "two hundred twenty-six million, three hundred fifty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 169937 339874 509811 679748 1019622 1529433 2039244 3058866 6117732 6287669 12575338 18863007 25150676 37726014 56589021 75452028 113178042 226356084