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216090000 = 24325474
BaseRepresentation
bin11001110000101…
…00010110010000
3120001121111202100
430320110112100
5420304340000
633235320400
75232510000
oct1470242620
9501544670
10216090000
11100a82685
1260450100
13359cbb09
14209b0000
1513e86a00
hexce14590

216090000 has 375 divisors, whose sum is σ = 881595143. Its totient is φ = 49392000.

The previous prime is 216089989. The next prime is 216090011. The reversal of 216090000 is 90612.

The square root of 216090000 is 14700.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (216089989) and next prime (216090011).

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 199148544 = 4116^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (375).

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

It is a Duffinian number.

It is an unprimeable number.

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 74 ways as a sum of consecutive naturals, for example, 30869997 + ... + 30870003.

Almost surely, 2216090000 is an apocalyptic number.

216090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

216090000 is the 14700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216090000

216090000 is an abundant number, since it is smaller than the sum of its proper divisors (665505143).

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

216090000 is an frugal number, since it uses more digits than its factorization.

216090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 216090000 is about 600.0833217619.

The spelling of 216090000 in words is "two hundred sixteen million, ninety thousand".