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214204140 = 223251190023
BaseRepresentation
bin11001100010001…
…11111011101100
3112221001200211200
430301013323230
5414314013030
633131045500
75210463603
oct1461077354
9487050750
10214204140
11aaa04817
125b8a0890
13354bb617
142063ca3a
1513c12d60
hexcc47eec

214204140 has 36 divisors (see below), whose sum is σ = 649753104. Its totient is φ = 57121056.

The previous prime is 214204139. The next prime is 214204147. The reversal of 214204140 is 41402412.

214204140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2142041403 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214204147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594832 + ... + 595191.

Almost surely, 2214204140 is an apocalyptic number.

214204140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214204140 is an abundant number, since it is smaller than the sum of its proper divisors (435548964).

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

214204140 is a wasteful number, since it uses less digits than its factorization.

214204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190038 (or 1190033 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214204140 is about 14635.7145367078. The cubic root of 214204140 is about 598.3325369042.

Adding to 214204140 its reverse (41402412), we get a palindrome (255606552).

The spelling of 214204140 in words is "two hundred fourteen million, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1190023 2380046 3570069 4760092 5950115 7140138 10710207 11900230 14280276 17850345 21420414 23800460 35700690 42840828 53551035 71401380 107102070 214204140