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199701216 = 253211132373
BaseRepresentation
bin10111110011100…
…11001011100000
3111220202212120100
423321303023200
5402110414331
631452142400
74643301201
oct1371631340
9456685510
10199701216
11a27a9530
1256a67a00
13324b1300
141c7455a8
15127eaae6
hexbe732e0

199701216 has 216 divisors, whose sum is σ = 672647976. Its totient is φ = 55710720.

The previous prime is 199701197. The next prime is 199701223. The reversal of 199701216 is 612107991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535206 + ... + 535578.

It is an arithmetic number, because the mean of its divisors is an integer number (3114111).

Almost surely, 2199701216 is an apocalyptic number.

199701216 is a gapful number since it is divisible by the number (16) 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 199701216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336323988).

199701216 is an abundant number, since it is smaller than the sum of its proper divisors (472946760).

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

199701216 is a wasteful number, since it uses less digits than its factorization.

199701216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 199701216 is about 14131.5680658588. The cubic root of 199701216 is about 584.5121859320.

The spelling of 199701216 in words is "one hundred ninety-nine million, seven hundred one thousand, two hundred sixteen".