Search a number
-
+
228945528 = 23347172969
BaseRepresentation
bin11011010010101…
…10111001111000
3120221210122020000
431221112321320
5432102224103
634415033000
75450001450
oct1551267170
9527718200
10228945528
11108263189
126480b760
1338580336
1422598d60
1515175aa3
hexda56e78

228945528 has 160 divisors (see below), whose sum is σ = 776239200. Its totient is φ = 61544448.

The previous prime is 228945523. The next prime is 228945553. The reversal of 228945528 is 825549822.

228945528 is a `hidden beast` number, since 2 + 2 + 8 + 94 + 552 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228945523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75628 + ... + 78596.

It is an arithmetic number, because the mean of its divisors is an integer number (4851495).

Almost surely, 2228945528 is an apocalyptic number.

228945528 is a gapful number since it is divisible by the number (28) 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 228945528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388119600).

228945528 is an abundant number, since it is smaller than the sum of its proper divisors (547293672).

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

228945528 is a wasteful number, since it uses less digits than its factorization.

228945528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2998 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 228945528 is about 15130.9460378391. The cubic root of 228945528 is about 611.7548037366.

The spelling of 228945528 in words is "two hundred twenty-eight million, nine hundred forty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 612 648 714 756 918 952 1071 1134 1224 1377 1428 1512 1836 2142 2268 2754 2856 2969 3213 3672 4284 4536 5508 5938 6426 8568 8907 9639 11016 11876 12852 17814 19278 20783 23752 25704 26721 35628 38556 41566 50473 53442 62349 71256 77112 80163 83132 100946 106884 124698 151419 160326 166264 187047 201892 213768 240489 249396 302838 320652 353311 374094 403784 454257 480978 498792 561141 605676 641304 706622 748188 908514 961956 1059933 1122282 1211352 1362771 1413244 1496376 1683423 1817028 1923912 2119866 2244564 2725542 2826488 3179799 3366846 3634056 4088313 4239732 4489128 5451084 6359598 6733692 8176626 8479464 9539397 10902168 12719196 13467384 16353252 19078794 25438392 28618191 32706504 38157588 57236382 76315176 114472764 228945528