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23228928 = 2932712
BaseRepresentation
bin101100010011…
…1001000000000
31121201011002200
41120213020000
521421311203
62145513200
7401304552
oct130471000
947634080
1023228928
1112126268
127942800
134a74038
1431294d2
15208c9a3
hex1627200

23228928 has 90 divisors (see below), whose sum is σ = 67997787. Its totient is φ = 7633920.

The previous prime is 23228927. The next prime is 23228939. The reversal of 23228928 is 82982232.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11614464 + 11614464 = 3408^2 + 3408^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3408.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23228892 and 23228901.

It is not an unprimeable number, because it can be changed into a prime (23228921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 327133 + ... + 327203.

Almost surely, 223228928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23228928

23228928 is an abundant number, since it is smaller than the sum of its proper divisors (44768859).

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

23228928 is an frugal number, since it uses more digits than its factorization.

23228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 76 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23228928 is about 4819.6398205675. The cubic root of 23228928 is about 285.3271220783.

The spelling of 23228928 in words is "twenty-three million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 284 288 384 426 512 568 576 639 768 852 1136 1152 1278 1536 1704 2272 2304 2556 3408 4544 4608 5041 5112 6816 9088 10082 10224 13632 15123 18176 20164 20448 27264 30246 36352 40328 40896 45369 54528 60492 80656 81792 90738 109056 120984 161312 163584 181476 241968 322624 327168 362952 483936 645248 725904 967872 1290496 1451808 1935744 2580992 2903616 3871488 5807232 7742976 11614464 23228928