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216775000 = 2355132329
BaseRepresentation
bin11001110101110…
…11100101011000
3120002220022101201
430322323211120
5420443300000
633302123544
75241362041
oct1472734530
9502808351
10216775000
111014002a2
12607205b4
1335bab840
1420b0b8c8
151406e96a
hexcebb958

216775000 has 192 divisors, whose sum is σ = 590587200. Its totient is φ = 73920000.

The previous prime is 216774983. The next prime is 216775021. The reversal of 216775000 is 577612.

It is a self number, because there is not a number n which added to its sum of digits gives 216775000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7474986 + ... + 7475014.

It is an arithmetic number, because the mean of its divisors is an integer number (3075975).

Almost surely, 2216775000 is an apocalyptic number.

216775000 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 216775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

216775000 is an abundant number, since it is smaller than the sum of its proper divisors (373812200).

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

216775000 is a wasteful number, since it uses less digits than its factorization.

216775000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 216775000 is about 14723.2808843681. The cubic root of 216775000 is about 600.7167360674.

The spelling of 216775000 in words is "two hundred sixteen million, seven hundred seventy-five thousand".