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228373344 = 253543683
BaseRepresentation
bin11011001110010…
…11001101100000
3120220201120100000
431213023031200
5431430421334
634354500000
75442066333
oct1547131540
9526646300
10228373344
11107a02301
1264594600
133840ca74
142248a61a
15150b1299
hexd9cb360

228373344 has 144 divisors (see below), whose sum is σ = 690161472. Its totient is φ = 74245248.

The previous prime is 228373337. The next prime is 228373349. The reversal of 228373344 is 443373822.

228373344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 228373299 and 228373308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228373349) 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, 334027 + ... + 334709.

It is an arithmetic number, because the mean of its divisors is an integer number (4792788).

Almost surely, 2228373344 is an apocalyptic number.

228373344 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 228373344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345080736).

228373344 is an abundant number, since it is smaller than the sum of its proper divisors (461788128).

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

228373344 is an equidigital number, since it uses as much as digits as its factorization.

228373344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 731 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 228373344 is about 15112.0264690081. The cubic root of 228373344 is about 611.2447430765.

The spelling of 228373344 in words is "two hundred twenty-eight million, three hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 683 688 774 864 972 1032 1161 1296 1366 1376 1548 1944 2049 2064 2322 2592 2732 3096 3483 3888 4098 4128 4644 5464 6147 6192 6966 7776 8196 9288 10449 10928 12294 12384 13932 16392 18441 18576 20898 21856 24588 27864 29369 32784 36882 37152 41796 49176 55323 55728 58738 65568 73764 83592 88107 98352 110646 111456 117476 147528 165969 167184 176214 196704 221292 234952 264321 295056 331938 334368 352428 442584 469904 528642 590112 663876 704856 792963 885168 939808 1057284 1327752 1409712 1585926 1770336 2114568 2378889 2655504 2819424 3171852 4229136 4757778 5311008 6343704 7136667 8458272 9515556 12687408 14273334 19031112 25374816 28546668 38062224 57093336 76124448 114186672 228373344