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216849150 = 2345277649
BaseRepresentation
bin11001110110011…
…01101011111110
3120010001002010000
430323031223332
5421003133100
633303455130
75242121160
oct1473155376
9503032100
10216849150
11101450a81
12607574a6
1335c0650b
1420b2a930
1514086900
hexcecdafe

216849150 has 120 divisors (see below), whose sum is σ = 688683600. Its totient is φ = 49559040.

The previous prime is 216849133. The next prime is 216849151. The reversal of 216849150 is 51948612.

216849150 is a `hidden beast` number, since 2 + 168 + 491 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216849151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24526 + ... + 32174.

It is an arithmetic number, because the mean of its divisors is an integer number (5739030).

Almost surely, 2216849150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216849150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344341800).

216849150 is an abundant number, since it is smaller than the sum of its proper divisors (471834450).

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

216849150 is a wasteful number, since it uses less digits than its factorization.

216849150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 216849150 is about 14725.7987898789. The cubic root of 216849150 is about 600.7852219293.

The spelling of 216849150 in words is "two hundred sixteen million, eight hundred forty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1890 2025 2835 3150 4050 4725 5670 7649 9450 14175 15298 22947 28350 38245 45894 53543 68841 76490 107086 114735 137682 160629 191225 206523 229470 267715 321258 344205 382450 413046 481887 535430 573675 619569 688410 803145 963774 1032615 1147350 1239138 1338575 1445661 1606290 1721025 2065230 2409435 2677150 2891322 3097845 3442050 4015725 4336983 4818870 5163075 6195690 7228305 8031450 8673966 10326150 12047175 14456610 15489225 21684915 24094350 30978450 36141525 43369830 72283050 108424575 216849150