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232107820 = 225710191627
BaseRepresentation
bin11011101010110…
…10111100101100
3121011202022001221
431311122330230
5433404422240
635010513124
75515612120
oct1565327454
9534668057
10232107820
1110a02304a
12658957a4
1339119809
1422b7d580
151559ca4a
hexdd5af2c

232107820 has 48 divisors (see below), whose sum is σ = 557948160. Its totient is φ = 79452864.

The previous prime is 232107803. The next prime is 232107839. The reversal of 232107820 is 28701232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141847 + ... + 143473.

It is an arithmetic number, because the mean of its divisors is an integer number (11623920).

Almost surely, 2232107820 is an apocalyptic number.

232107820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232107820 is an abundant number, since it is smaller than the sum of its proper divisors (325840340).

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

232107820 is a wasteful number, since it uses less digits than its factorization.

232107820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 232107820 is about 15235.0851654987. The cubic root of 232107820 is about 614.5585392455.

The spelling of 232107820 in words is "two hundred thirty-two million, one hundred seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1019 1627 2038 3254 4076 5095 6508 7133 8135 10190 11389 14266 16270 20380 22778 28532 32540 35665 45556 56945 71330 113890 142660 227780 1657913 3315826 6631652 8289565 11605391 16579130 23210782 33158260 46421564 58026955 116053910 232107820