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10228428 = 22327371097
BaseRepresentation
bin100111000001…
…001011001100
3201020122202200
4213001023030
510104302203
61003121500
7152640330
oct47011314
921218680
1010228428
115856851
123513290
132171832
1415037c0
15d709a3
hex9c12cc

10228428 has 72 divisors (see below), whose sum is σ = 30375072. Its totient is φ = 2840832.

The previous prime is 10228411. The next prime is 10228429. The reversal of 10228428 is 82482201.

10228428 is a `hidden beast` number, since 10 + 228 + 428 = 666.

It is not an unprimeable number, because it can be changed into a prime (10228429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8776 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (421876).

Almost surely, 210228428 is an apocalyptic number.

10228428 is a gapful number since it is divisible by the number (18) 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 10228428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187536).

10228428 is an abundant number, since it is smaller than the sum of its proper divisors (20146644).

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

10228428 is a wasteful number, since it uses less digits than its factorization.

10228428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10228428 is about 3198.1913638805. The cubic root of 10228428 is about 217.0715783888.

The spelling of 10228428 in words is "ten million, two hundred twenty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1097 1332 1554 2194 2331 3108 3291 4388 4662 6582 7679 9324 9873 13164 15358 19746 23037 30716 39492 40589 46074 69111 81178 92148 121767 138222 162356 243534 276444 284123 365301 487068 568246 730602 852369 1136492 1461204 1704738 2557107 3409476 5114214 10228428