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214899160 = 23573891973
BaseRepresentation
bin11001100111100…
…01100111011000
3112222101000020011
430303301213120
5420003233120
633154011304
75216420110
oct1463614730
9488330204
10214899160
11100339a13
125bb76b34
13356a2a88
1420780040
1513cedc5a
hexccf19d8

214899160 has 64 divisors (see below), whose sum is σ = 554299200. Its totient is φ = 73453056.

The previous prime is 214899151. The next prime is 214899169. The reversal of 214899160 is 61998412.

It is an interprime number because it is at equal distance from previous prime (214899151) and next prime (214899169).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214899169) 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, 107934 + ... + 109906.

It is an arithmetic number, because the mean of its divisors is an integer number (8660925).

Almost surely, 2214899160 is an apocalyptic number.

214899160 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 214899160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277149600).

214899160 is an abundant number, since it is smaller than the sum of its proper divisors (339400040).

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

214899160 is a wasteful number, since it uses less digits than its factorization.

214899160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 214899160 is about 14659.4392798633. The cubic root of 214899160 is about 598.9789671759.

The spelling of 214899160 in words is "two hundred fourteen million, eight hundred ninety-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 389 778 1556 1945 1973 2723 3112 3890 3946 5446 7780 7892 9865 10892 13615 13811 15560 15784 19730 21784 27230 27622 39460 54460 55244 69055 78920 108920 110488 138110 276220 552440 767497 1534994 3069988 3837485 5372479 6139976 7674970 10744958 15349940 21489916 26862395 30699880 42979832 53724790 107449580 214899160