Search a number
-
+
256221240 = 233511732659
BaseRepresentation
bin11110100010110…
…10000000111000
3122212010101110120
433101122000320
51011043034430
641231413240
76230562462
oct1721320070
9585111416
10256221240
111216a28a0
1271984220
1341110302
1426059132
1517762610
hexf45a038

256221240 has 128 divisors (see below), whose sum is σ = 850348800. Its totient is φ = 61240320.

The previous prime is 256221233. The next prime is 256221241. The reversal of 256221240 is 42122652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 256221240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256221241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95031 + ... + 97689.

It is an arithmetic number, because the mean of its divisors is an integer number (6643350).

Almost surely, 2256221240 is an apocalyptic number.

256221240 is a gapful number since it is divisible by the number (20) 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 256221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425174400).

256221240 is an abundant number, since it is smaller than the sum of its proper divisors (594127560).

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

256221240 is a wasteful number, since it uses less digits than its factorization.

256221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 256221240 is about 16006.9122568970. The cubic root of 256221240 is about 635.1432830201.

Adding to 256221240 its reverse (42122652), we get a palindrome (298343892).

It can be divided in two parts, 25622 and 1240, that added together give a palindrome (26862).

The spelling of 256221240 in words is "two hundred fifty-six million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 1095 1320 1460 1606 1752 2190 2409 2659 2920 3212 4015 4380 4818 5318 6424 7977 8030 8760 9636 10636 12045 13295 15954 16060 19272 21272 24090 26590 29249 31908 32120 39885 48180 53180 58498 63816 79770 87747 96360 106360 116996 146245 159540 175494 194107 233992 292490 319080 350988 388214 438735 582321 584980 701976 776428 877470 970535 1164642 1169960 1552856 1754940 1941070 2135177 2329284 2911605 3509880 3882140 4270354 4658568 5823210 6405531 7764280 8540708 10675885 11646420 12811062 17081416 21351770 23292840 25622124 32027655 42703540 51244248 64055310 85407080 128110620 256221240