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228730476 = 2231371107193
BaseRepresentation
bin11011010001000…
…10011001101100
3120221101201020010
431220202121230
5432023333401
634410253220
75445114462
oct1550423154
9527351203
10228730476
11108126657
1264727210
13385064a0
1422540832
1515131ed6
hexda2266c

228730476 has 96 divisors (see below), whose sum is σ = 591349248. Its totient is φ = 68382720.

The previous prime is 228730471. The next prime is 228730501. The reversal of 228730476 is 674037822.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (228730471) 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 31 ways as a sum of consecutive naturals, for example, 1185036 + ... + 1185228.

It is an arithmetic number, because the mean of its divisors is an integer number (6159888).

Almost surely, 2228730476 is an apocalyptic number.

228730476 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228730476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295674624).

228730476 is an abundant number, since it is smaller than the sum of its proper divisors (362618772).

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

228730476 is a wasteful number, since it uses less digits than its factorization.

228730476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 228730476 is about 15123.8380049510. The cubic root of 228730476 is about 611.5632002163.

The spelling of 228730476 in words is "two hundred twenty-eight million, seven hundred thirty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 107 142 156 193 213 214 284 321 386 426 428 579 642 772 852 923 1158 1284 1391 1846 2316 2509 2769 2782 3692 4173 5018 5538 5564 7527 7597 8346 10036 11076 13703 15054 15194 16692 20651 22791 27406 30108 30388 41109 41302 45582 54812 61953 82218 82604 91164 98761 123906 164436 178139 197522 247812 268463 296283 356278 395044 534417 536926 592566 712556 805389 1068834 1073852 1185132 1466221 1610778 2137668 2932442 3221556 4398663 5864884 8797326 17594652 19060873 38121746 57182619 76243492 114365238 228730476