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214337860 = 2251119471091
BaseRepresentation
bin11001100011010…
…00100101000100
3112221022111021021
430301220211010
5414332302420
633134000524
75211561502
oct1461504504
9487274237
10214337860
11aaa96230
125b946144
1335537449
1420675672
1513c3c7aa
hexcc68944

214337860 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 72201600.

The previous prime is 214337839. The next prime is 214337863. The reversal of 214337860 is 68733412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214337863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195915 + ... + 197005.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2214337860 is an apocalyptic number.

214337860 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 214337860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

214337860 is an abundant number, since it is smaller than the sum of its proper divisors (314015420).

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

214337860 is a wasteful number, since it uses less digits than its factorization.

214337860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 214337860 is about 14640.2821011072. The cubic root of 214337860 is about 598.4570168881.

The spelling of 214337860 in words is "two hundred fourteen million, three hundred thirty-seven thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 47 55 76 94 95 110 188 190 209 220 235 380 418 470 517 836 893 940 1034 1045 1091 1786 2068 2090 2182 2585 3572 4180 4364 4465 5170 5455 8930 9823 10340 10910 12001 17860 19646 20729 21820 24002 39292 41458 48004 49115 51277 60005 82916 98230 102554 103645 120010 196460 205108 207290 228019 240020 256385 414580 456038 512770 564047 912076 974263 1025540 1128094 1140095 1948526 2256188 2280190 2820235 3897052 4560380 4871315 5640470 9742630 10716893 11280940 19485260 21433786 42867572 53584465 107168930 214337860