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226577421 = 3272513781
BaseRepresentation
bin11011000000101…
…00110000001101
3120210100022210100
431200110300031
5431000434141
634252201313
75420606400
oct1540246015
9523308710
10226577421
11106995a74
1263a69239
1337c314a5
142213dd37
1514d590b6
hexd814c0d

226577421 has 18 divisors (see below), whose sum is σ = 380712462. Its totient is φ = 129472560.

The previous prime is 226577389. The next prime is 226577423. The reversal of 226577421 is 124775622.

It is a happy number.

226577421 is a `hidden beast` number, since 226 + 5 + 7 + 7 + 421 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195608196 + 30969225 = 13986^2 + 5565^2 .

It is not a de Polignac number, because 226577421 - 25 = 226577389 is a prime.

It is a super-2 number, since 2×2265774212 = 102674655414022482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226577423) 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 17 ways as a sum of consecutive naturals, for example, 256450 + ... + 257331.

Almost surely, 2226577421 is an apocalyptic number.

226577421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226577421 is a deficient number, since it is larger than the sum of its proper divisors (154135041).

226577421 is a wasteful number, since it uses less digits than its factorization.

226577421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513801 (or 513791 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 226577421 is about 15052.4888639720. The cubic root of 226577421 is about 609.6382527740.

The spelling of 226577421 in words is "two hundred twenty-six million, five hundred seventy-seven thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 513781 1541343 3596467 4624029 10789401 25175269 32368203 75525807 226577421