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20238288 = 2437293167
BaseRepresentation
bin100110100110…
…0111111010000
31102002012201020
41031030333100
520140111123
62001435440
7334010520
oct115147720
942065636
1020238288
1110473364
12693bb80
134267a25
14298b680
151b9b7e3
hex134cfd0

20238288 has 160 divisors (see below), whose sum is σ = 64757760. Its totient is φ = 5322240.

The previous prime is 20238271. The next prime is 20238307. The reversal of 20238288 is 88283202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302031 + ... + 302097.

It is an arithmetic number, because the mean of its divisors is an integer number (404736).

Almost surely, 220238288 is an apocalyptic number.

20238288 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 20238288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32378880).

20238288 is an abundant number, since it is smaller than the sum of its proper divisors (44519472).

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

20238288 is a wasteful number, since it uses less digits than its factorization.

20238288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20238288 is about 4498.6984784491. The cubic root of 20238288 is about 272.5155303552.

The spelling of 20238288 in words is "twenty million, two hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 31 42 48 56 58 62 67 84 87 93 112 116 124 134 168 174 186 201 203 217 232 248 268 336 348 372 402 406 434 464 469 496 536 609 651 696 744 804 812 868 899 938 1072 1218 1302 1392 1407 1488 1608 1624 1736 1798 1876 1943 2077 2436 2604 2697 2814 3216 3248 3472 3596 3752 3886 4154 4872 5208 5394 5628 5829 6231 6293 7192 7504 7772 8308 9744 10416 10788 11256 11658 12462 12586 13601 14384 14539 15544 16616 18879 21576 22512 23316 24924 25172 27202 29078 31088 33232 37758 40803 43152 43617 46632 49848 50344 54404 58156 60233 75516 81606 87234 93264 99696 100688 108808 116312 120466 151032 163212 174468 180699 217616 232624 240932 302064 326424 348936 361398 421631 481864 652848 697872 722796 843262 963728 1264893 1445592 1686524 2529786 2891184 3373048 5059572 6746096 10119144 20238288