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214343560 = 235191392029
BaseRepresentation
bin11001100011010…
…01111110001000
3112221022210002101
430301221332020
5414332443220
633134043144
75211614224
oct1461517610
9487283071
10214343560
11aaa9a542
125b9494b4
1335539c12
1420677784
1513c3e30a
hexcc69f88

214343560 has 64 divisors (see below), whose sum is σ = 511560000. Its totient is φ = 80600832.

The previous prime is 214343557. The next prime is 214343561. The reversal of 214343560 is 65343412.

214343560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214343561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104626 + ... + 106654.

It is an arithmetic number, because the mean of its divisors is an integer number (7993125).

Almost surely, 2214343560 is an apocalyptic number.

214343560 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 214343560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255780000).

214343560 is an abundant number, since it is smaller than the sum of its proper divisors (297216440).

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

214343560 is a wasteful number, since it uses less digits than its factorization.

214343560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 214343560 is about 14640.4767681930. The cubic root of 214343560 is about 598.4623218690.

Adding to 214343560 its reverse (65343412), we get a palindrome (279686972).

The spelling of 214343560 in words is "two hundred fourteen million, three hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 139 152 190 278 380 556 695 760 1112 1390 2029 2641 2780 4058 5282 5560 8116 10145 10564 13205 16232 20290 21128 26410 38551 40580 52820 77102 81160 105640 154204 192755 282031 308408 385510 564062 771020 1128124 1410155 1542040 2256248 2820310 5358589 5640620 10717178 11281240 21434356 26792945 42868712 53585890 107171780 214343560