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214002340 = 22553201889
BaseRepresentation
bin11001100000101…
…10101010100100
3112220200110000121
430300112222210
5414241033330
633122451324
75205663346
oct1460265244
9486613017
10214002340
11aa887142
125b803b44
133544a806
14205c9296
1513bc317a
hexcc16aa4

214002340 has 24 divisors (see below), whose sum is σ = 457886520. Its totient is φ = 83985408.

The previous prime is 214002323. The next prime is 214002353. The reversal of 214002340 is 43200412.

It can be written as a sum of positive squares in 4 ways, for example, as 60093504 + 153908836 = 7752^2 + 12406^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99885 + ... + 102004.

It is an arithmetic number, because the mean of its divisors is an integer number (19078605).

Almost surely, 2214002340 is an apocalyptic number.

214002340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002340 is an abundant number, since it is smaller than the sum of its proper divisors (243884180).

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

214002340 is a wasteful number, since it uses less digits than its factorization.

214002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201951 (or 201949 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214002340 is about 14628.8188176626. The cubic root of 214002340 is about 598.1445831093.

Adding to 214002340 its reverse (43200412), we get a palindrome (257202752).

The spelling of 214002340 in words is "two hundred fourteen million, two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 201889 403778 807556 1009445 2018890 4037780 10700117 21400234 42800468 53500585 107001170 214002340