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214454500 = 22531332993
BaseRepresentation
bin11001100100001…
…01000011100100
3112221112102021021
430302011003210
5414400021000
633140300524
75212555531
oct1462050344
9487472237
10214454500
11100065927
125b9a1744
1335578570
14206a5d88
1513c6211a
hexcc850e4

214454500 has 48 divisors (see below), whose sum is σ = 504412272. Its totient is φ = 79180800.

The previous prime is 214454437. The next prime is 214454503. The reversal of 214454500 is 5454412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 165482496 + 48972004 = 12864^2 + 6998^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214454503) 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 15 ways as a sum of consecutive naturals, for example, 9997 + ... + 22996.

It is an arithmetic number, because the mean of its divisors is an integer number (10508589).

Almost surely, 2214454500 is an apocalyptic number.

214454500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214454500 is an abundant number, since it is smaller than the sum of its proper divisors (289957772).

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

214454500 is a wasteful number, since it uses less digits than its factorization.

214454500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33025 (or 33013 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 214454500 is about 14644.2650891057. The cubic root of 214454500 is about 598.5655548261.

It can be divided in two parts, 2144 and 54500, that added together give a square (56644 = 2382).

The spelling of 214454500 in words is "two hundred fourteen million, four hundred fifty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 32993 65986 131972 164965 329930 428909 659860 824825 857818 1649650 1715636 2144545 3299300 4124125 4289090 8248250 8578180 10722725 16496500 21445450 42890900 53613625 107227250 214454500