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214341160 = 235111672917
BaseRepresentation
bin11001100011010…
…01011000101000
3112221022122210111
430301221120220
5414332404120
633134024104
75211604225
oct1461513050
9487278714
10214341160
11aaa98760
125b948034
1335538ab7
142067694c
1513c3d75a
hexcc69628

214341160 has 64 divisors (see below), whose sum is σ = 529441920. Its totient is φ = 77448960.

The previous prime is 214341143. The next prime is 214341167. The reversal of 214341160 is 61143412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (214341167) 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, 72022 + ... + 74938.

It is an arithmetic number, because the mean of its divisors is an integer number (8272530).

Almost surely, 2214341160 is an apocalyptic number.

214341160 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 214341160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264720960).

214341160 is an abundant number, since it is smaller than the sum of its proper divisors (315100760).

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

214341160 is a wasteful number, since it uses less digits than its factorization.

214341160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 214341160 is about 14640.3948034197. The cubic root of 214341160 is about 598.4600882043.

Adding to 214341160 its reverse (61143412), we get a palindrome (275484572).

The spelling of 214341160 in words is "two hundred fourteen million, three hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 2917 3340 3674 5834 6680 7348 9185 11668 14585 14696 18370 23336 29170 32087 36740 58340 64174 73480 116680 128348 160435 256696 320870 487139 641740 974278 1283480 1948556 2435695 3897112 4871390 5358529 9742780 10717058 19485560 21434116 26792645 42868232 53585290 107170580 214341160