Search a number
-
+
228399912 = 233413191427
BaseRepresentation
bin11011001110100…
…01101100101000
3120220202220210000
431213101230220
5431432244122
634355223000
75442236646
oct1547215450
9526686700
10228399912
11107a20264
12645a7a60
133841bba0
1422496196
15150b90ac
hexd9d1b28

228399912 has 160 divisors (see below), whose sum is σ = 725709600. Its totient is φ = 66531456.

The previous prime is 228399907. The next prime is 228399929. The reversal of 228399912 is 219993822.

It is a happy number.

228399912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159343 + ... + 160769.

It is an arithmetic number, because the mean of its divisors is an integer number (4535685).

Almost surely, 2228399912 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 228399912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362854800).

228399912 is an abundant number, since it is smaller than the sum of its proper divisors (497309688).

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

228399912 is a wasteful number, since it uses less digits than its factorization.

228399912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1464 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 228399912 is about 15112.9054784313. The cubic root of 228399912 is about 611.2684453766.

The spelling of 228399912 in words is "two hundred twenty-eight million, three hundred ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 936 988 1026 1053 1368 1404 1427 1482 1539 1976 2052 2106 2223 2808 2854 2964 3078 4104 4212 4281 4446 5708 5928 6156 6669 8424 8562 8892 11416 12312 12843 13338 17124 17784 18551 20007 25686 26676 27113 34248 37102 38529 40014 51372 53352 54226 55653 74204 77058 80028 81339 102744 108452 111306 115587 148408 154116 160056 162678 166959 216904 222612 231174 244017 308232 325356 333918 352469 445224 462348 488034 500877 650712 667836 704938 732051 924696 976068 1001754 1057407 1335672 1409876 1464102 1502631 1952136 2003508 2114814 2196153 2819752 2928204 3005262 3172221 4007016 4229628 4392306 5856408 6010524 6344442 8459256 8784612 9516663 12021048 12688884 17569224 19033326 25377768 28549989 38066652 57099978 76133304 114199956 228399912