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214745500 = 22533111381
BaseRepresentation
bin11001100110011…
…00000110011100
3112222002012110001
430303030012130
5414433324000
633150424044
75215210114
oct1463140634
9488065401
10214745500
11100244522
125bb02024
133564ab58
1420740044
1513cbd46a
hexcccc19c

214745500 has 48 divisors (see below), whose sum is σ = 470852928. Its totient is φ = 85560000.

The previous prime is 214745497. The next prime is 214745507. The reversal of 214745500 is 5547412.

214745500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147455002 = 92231259540500000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214745507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154810 + ... + 156190.

It is an arithmetic number, because the mean of its divisors is an integer number (9809436).

Almost surely, 2214745500 is an apocalyptic number.

214745500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214745500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235426464).

214745500 is an abundant number, since it is smaller than the sum of its proper divisors (256107428).

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

214745500 is a wasteful number, since it uses less digits than its factorization.

214745500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 214745500 is about 14654.1973509299. The cubic root of 214745500 is about 598.8361698847.

The spelling of 214745500 in words is "two hundred fourteen million, seven hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 311 500 622 1244 1381 1555 2762 3110 5524 6220 6905 7775 13810 15550 27620 31100 34525 38875 69050 77750 138100 155500 172625 345250 429491 690500 858982 1717964 2147455 4294910 8589820 10737275 21474550 42949100 53686375 107372750 214745500