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214043360 = 25519181389
BaseRepresentation
bin11001100001000…
…00101011100000
3112220202112021212
430300200223200
5414243341420
633123405252
75206224056
oct1460405340
9486675255
10214043360
11aa904a43
125b823828
133546339b
14205da1d6
1513bd03c5
hexcc20ae0

214043360 has 96 divisors (see below), whose sum is σ = 536608800. Its totient is φ = 80455680.

The previous prime is 214043317. The next prime is 214043383. The reversal of 214043360 is 63340412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550046 + ... + 550434.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2214043360 is an apocalyptic number.

214043360 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 214043360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304400).

214043360 is an abundant number, since it is smaller than the sum of its proper divisors (322565440).

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

214043360 is a wasteful number, since it uses less digits than its factorization.

214043360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 214043360 is about 14630.2207775549. The cubic root of 214043360 is about 598.1827981483.

Adding to 214043360 its reverse (63340412), we get a palindrome (277383772).

The spelling of 214043360 in words is "two hundred fourteen million, forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 181 190 304 362 380 389 608 724 760 778 905 1448 1520 1556 1810 1945 2896 3040 3112 3439 3620 3890 5792 6224 6878 7240 7391 7780 12448 13756 14480 14782 15560 17195 27512 28960 29564 31120 34390 36955 55024 59128 62240 68780 70409 73910 110048 118256 137560 140818 147820 236512 275120 281636 295640 352045 550240 563272 591280 704090 1126544 1182560 1337771 1408180 2253088 2675542 2816360 5351084 5632720 6688855 10702168 11265440 13377710 21404336 26755420 42808672 53510840 107021680 214043360