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228378504 = 23337435981
BaseRepresentation
bin11011001110011…
…00011110001000
3120220201211102010
431213030132020
5431431103004
634354535520
75442120354
oct1547143610
9526654363
10228378504
11107a06172
12645975a0
1338412213
142248c464
15150b2a89
hexd9cc788

228378504 has 64 divisors (see below), whose sum is σ = 600114240. Its totient is φ = 72334080.

The previous prime is 228378463. The next prime is 228378559. The reversal of 228378504 is 405873822.

228378504 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35194 + ... + 41174.

It is an arithmetic number, because the mean of its divisors is an integer number (9376785).

Almost surely, 2228378504 is an apocalyptic number.

228378504 is a gapful number since it is divisible by the number (24) 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 228378504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300057120).

228378504 is an abundant number, since it is smaller than the sum of its proper divisors (371735736).

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

228378504 is a wasteful number, since it uses less digits than its factorization.

228378504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 228378504 is about 15112.1971929961. The cubic root of 228378504 is about 611.2493466481.

The spelling of 228378504 in words is "two hundred twenty-eight million, three hundred seventy-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 344 444 516 888 1032 1591 3182 4773 5981 6364 9546 11962 12728 17943 19092 23924 35886 38184 47848 71772 143544 221297 257183 442594 514366 663891 771549 885188 1028732 1327782 1543098 1770376 2057464 2655564 3086196 5311128 6172392 9515771 19031542 28547313 38063084 57094626 76126168 114189252 228378504