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214315020 = 223251190639
BaseRepresentation
bin11001100011000…
…11000000001100
3112221021022221100
430301203000030
5414331040040
633133303100
75211435063
oct1461430014
9487238840
10214315020
11aaa80057
125b934a90
1335529c2a
142066b1da
1513c35b30
hexcc6300c

214315020 has 36 divisors (see below), whose sum is σ = 650089440. Its totient is φ = 57150624.

The previous prime is 214314979. The next prime is 214315043. The reversal of 214315020 is 20513412.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 214314984 and 214315002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595140 + ... + 595499.

It is an arithmetic number, because the mean of its divisors is an integer number (18058040).

Almost surely, 2214315020 is an apocalyptic number.

214315020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214315020 is an abundant number, since it is smaller than the sum of its proper divisors (435774420).

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

214315020 is a wasteful number, since it uses less digits than its factorization.

214315020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190654 (or 1190649 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214315020 is about 14639.5020407116. The cubic root of 214315020 is about 598.4357587930.

Adding to 214315020 its reverse (20513412), we get a palindrome (234828432).

The spelling of 214315020 in words is "two hundred fourteen million, three hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1190639 2381278 3571917 4762556 5953195 7143834 10715751 11906390 14287668 17859585 21431502 23812780 35719170 42863004 53578755 71438340 107157510 214315020