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228244401 = 32721147051
BaseRepresentation
bin11011001101010…
…11101110110001
3120220111000110100
431212223232301
5431412310101
634352023013
75441021400
oct1546535661
9526430410
10228244401
11107924440
1264531a69
1338396178
1422455637
1515087e86
hexd9abbb1

228244401 has 36 divisors (see below), whose sum is σ = 418386384. Its totient is φ = 118566000.

The previous prime is 228244381. The next prime is 228244409. The reversal of 228244401 is 104442822.

It is not a de Polignac number, because 228244401 - 26 = 228244337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228244409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18675 + ... + 28376.

It is an arithmetic number, because the mean of its divisors is an integer number (11621844).

Almost surely, 2228244401 is an apocalyptic number.

228244401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

228244401 is a deficient number, since it is larger than the sum of its proper divisors (190141983).

228244401 is a wasteful number, since it uses less digits than its factorization.

228244401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47082 (or 47072 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 228244401 is about 15107.7596287471. The cubic root of 228244401 is about 611.1296821158.

It can be divided in two parts, 22824 and 4401, that added together give a square (27225 = 1652).

The spelling of 228244401 in words is "two hundred twenty-eight million, two hundred forty-four thousand, four hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 47051 141153 329357 423459 517561 988071 1552683 2305499 2964213 3622927 4658049 6916497 10868781 20749491 25360489 32606343 76081467 228244401