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228251232 = 253211109661
BaseRepresentation
bin11011001101011…
…01011001100000
3120220111100211100
431212231121200
5431413014412
634352114400
75441050326
oct1546553140
9526440740
10228251232
11107929590
1264535a00
1338399301
1422457d16
1515089edc
hexd9ad660

228251232 has 144 divisors (see below), whose sum is σ = 715674960. Its totient is φ = 68428800.

The previous prime is 228251207. The next prime is 228251263. The reversal of 228251232 is 232152822.

228251232 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 junction number, because it is equal to n+sod(n) for n = 228251196 and 228251205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344982 + ... + 345642.

It is an arithmetic number, because the mean of its divisors is an integer number (4969965).

Almost surely, 2228251232 is an apocalyptic number.

228251232 is a gapful number since it is divisible by the number (22) 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 228251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357837480).

228251232 is an abundant number, since it is smaller than the sum of its proper divisors (487423728).

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

228251232 is a wasteful number, since it uses less digits than its factorization.

228251232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 228251232 is about 15107.9857029321. The cubic root of 228251232 is about 611.1357787753.

The spelling of 228251232 in words is "two hundred twenty-eight million, two hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 109 132 144 176 198 218 264 288 327 352 396 436 528 654 661 792 872 981 1056 1199 1308 1322 1584 1744 1962 1983 2398 2616 2644 3168 3488 3597 3924 3966 4796 5232 5288 5949 7194 7271 7848 7932 9592 10464 10576 10791 11898 14388 14542 15696 15864 19184 21152 21582 21813 23796 28776 29084 31392 31728 38368 43164 43626 47592 57552 58168 63456 65439 72049 86328 87252 95184 115104 116336 130878 144098 172656 174504 190368 216147 232672 261756 288196 345312 349008 432294 523512 576392 648441 698016 792539 864588 1047024 1152784 1296882 1585078 1729176 2094048 2305568 2377617 2593764 3170156 3458352 4755234 5187528 6340312 6916704 7132851 9510468 10375056 12680624 14265702 19020936 20750112 25361248 28531404 38041872 57062808 76083744 114125616 228251232