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214045100 = 225213271613
BaseRepresentation
bin11001100001000…
…01000110101100
3112220202121200022
430300201012230
5414243420400
633123421312
75206232123
oct1460410654
9486677608
10214045100
11aa906285
125b824838
1335464109
14205daaba
1513bd0b85
hexcc211ac

214045100 has 36 divisors (see below), whose sum is σ = 465116064. Its totient is φ = 85500480.

The previous prime is 214045087. The next prime is 214045109. The reversal of 214045100 is 1540412.

It is not an unprimeable number, because it can be changed into a prime (214045109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131894 + ... + 133506.

Almost surely, 2214045100 is an apocalyptic number.

214045100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214045100 is an abundant number, since it is smaller than the sum of its proper divisors (251070964).

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

214045100 is a wasteful number, since it uses less digits than its factorization.

214045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 214045100 is about 14630.2802433856. The cubic root of 214045100 is about 598.1844190586.

Adding to 214045100 its reverse (1540412), we get a palindrome (215585512).

The spelling of 214045100 in words is "two hundred fourteen million, forty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1327 1613 2654 3226 5308 6452 6635 8065 13270 16130 26540 32260 33175 40325 66350 80650 132700 161300 2140451 4280902 8561804 10702255 21404510 42809020 53511275 107022550 214045100