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214233240 = 233513191719
BaseRepresentation
bin11001100010011…
…11000010011000
3112221010011202110
430301033002120
5414320430430
633131432320
75210644464
oct1461170230
9487104673
10214233240
11aaa24671
125b8b56a0
13354cb940
14206494a4
1513c1b7b0
hexcc4f098

214233240 has 128 divisors (see below), whose sum is σ = 696729600. Its totient is φ = 52385280.

The previous prime is 214233223. The next prime is 214233263. The reversal of 214233240 is 42332412.

It is a super-2 number, since 2×2142332402 = 91791762241795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297601 + ... + 298319.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2214233240 is an apocalyptic number.

214233240 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 214233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

214233240 is an abundant number, since it is smaller than the sum of its proper divisors (482496360).

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

214233240 is a wasteful number, since it uses less digits than its factorization.

214233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 214233240 is about 14636.7086464136. The cubic root of 214233240 is about 598.3596305113.

Adding to 214233240 its reverse (42332412), we get a palindrome (256565652).

The spelling of 214233240 in words is "two hundred fourteen million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 191 195 260 312 382 390 520 573 719 764 780 955 1146 1438 1528 1560 1910 2157 2292 2483 2865 2876 3595 3820 4314 4584 4966 5730 5752 7190 7449 7640 8628 9347 9932 10785 11460 12415 14380 14898 17256 18694 19864 21570 22920 24830 28041 28760 29796 37245 37388 43140 46735 49660 56082 59592 74490 74776 86280 93470 99320 112164 137329 140205 148980 186940 224328 274658 280410 297960 373880 411987 549316 560820 686645 823974 1098632 1121640 1373290 1647948 1785277 2059935 2746580 3295896 3570554 4119870 5355831 5493160 7141108 8239740 8926385 10711662 14282216 16479480 17852770 21423324 26779155 35705540 42846648 53558310 71411080 107116620 214233240