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216900450 = 233521317727
BaseRepresentation
bin11001110110110…
…10001101100010
3120010010200111000
430323122031202
5421011303300
633304532430
75242423554
oct1473321542
9503120430
10216900450
11101486578
1260781116
1335c23980
1420b414d4
1514096c00
hexceda362

216900450 has 192 divisors, whose sum is σ = 682456320. Its totient is φ = 50181120.

The previous prime is 216900413. The next prime is 216900451. The reversal of 216900450 is 54009612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216900451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297987 + ... + 298713.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2216900450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216900450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

216900450 is an abundant number, since it is smaller than the sum of its proper divisors (465555870).

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

216900450 is a wasteful number, since it uses less digits than its factorization.

216900450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 216900450 is about 14727.5405278682. The cubic root of 216900450 is about 600.8325941107.

The spelling of 216900450 in words is "two hundred sixteen million, nine hundred thousand, four hundred fifty".