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146216850 = 235213167449
BaseRepresentation
bin10001011011100…
…01011110010010
3101012010120210220
420231301132102
5244412414400
622301533510
73423552123
oct1055613622
9335116726
10146216850
117559897a
1240b74296
13243a5c60
14155c204a
15cc837a0
hex8b71792

146216850 has 96 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 35696640.

The previous prime is 146216849. The next prime is 146216857. The reversal of 146216850 is 58612641.

146216850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (146216857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325426 + ... + 325874.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2146216850 is an apocalyptic number.

146216850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146216850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

146216850 is an abundant number, since it is smaller than the sum of its proper divisors (247507950).

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

146216850 is a wasteful number, since it uses less digits than its factorization.

146216850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 146216850 is about 12092.0159609554. The cubic root of 146216850 is about 526.8243109954.

The spelling of 146216850 in words is "one hundred forty-six million, two hundred sixteen thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 167 195 325 334 390 449 501 650 835 898 975 1002 1347 1670 1950 2171 2245 2505 2694 4175 4342 4490 5010 5837 6513 6735 8350 10855 11225 11674 12525 13026 13470 17511 21710 22450 25050 29185 32565 33675 35022 54275 58370 65130 67350 74983 87555 108550 145925 149966 162825 175110 224949 291850 325650 374915 437775 449898 749830 875550 974779 1124745 1874575 1949558 2249490 2924337 3749150 4873895 5623725 5848674 9747790 11247450 14621685 24369475 29243370 48738950 73108425 146216850