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228249888 = 25317219433
BaseRepresentation
bin11011001101011…
…01000100100000
3120220111021222120
431212231010200
5431412444023
634352104240
75441043366
oct1546550440
9526437876
10228249888
11107928579
1264535080
1338398809
1422457636
15150898e3
hexd9ad120

228249888 has 144 divisors (see below), whose sum is σ = 671519520. Its totient is φ = 67682304.

The previous prime is 228249887. The next prime is 228249893. The reversal of 228249888 is 888942822.

It is a happy number.

It is a super-2 number, since 2×2282498882 = 104196022744025088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 228249888.

It is not an unprimeable number, because it can be changed into a prime (228249887) 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, 526920 + ... + 527352.

It is an arithmetic number, because the mean of its divisors is an integer number (4663330).

Almost surely, 2228249888 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 228249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335759760).

228249888 is an abundant number, since it is smaller than the sum of its proper divisors (443269632).

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

228249888 is a wasteful number, since it uses less digits than its factorization.

228249888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 474 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 228249888 is about 15107.9412230787. The cubic root of 228249888 is about 611.1345792665.

The spelling of 228249888 in words is "two hundred twenty-eight million, two hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 289 304 323 408 433 456 544 578 608 646 816 866 867 912 969 1156 1292 1299 1632 1732 1734 1824 1938 2312 2584 2598 3464 3468 3876 4624 5168 5196 5491 6928 6936 7361 7752 8227 9248 10336 10392 10982 13856 13872 14722 15504 16454 16473 20784 21964 22083 24681 27744 29444 31008 32908 32946 41568 43928 44166 49362 58888 65816 65892 87856 88332 98724 117776 125137 131632 131784 139859 175712 176664 197448 235552 250274 263264 263568 279718 353328 375411 394896 419577 500548 527136 559436 706656 750822 789792 839154 1001096 1118872 1501644 1678308 2002192 2237744 2377603 3003288 3356616 4004384 4475488 4755206 6006576 6713232 7132809 9510412 12013152 13426464 14265618 19020824 28531236 38041648 57062472 76083296 114124944 228249888