Search a number
-
+
230055100 = 225211415101
BaseRepresentation
bin11011011011001…
…01110010111100
3121000220000021021
431231211302330
5432343230400
634454513524
75462302402
oct1555456274
9530800237
10230055100
11108950890
12650658a4
133887b3a2
14227a7472
15152e471a
hexdb65cbc

230055100 has 72 divisors (see below), whose sum is σ = 557995536. Its totient is φ = 81600000.

The previous prime is 230055071. The next prime is 230055109. The reversal of 230055100 is 1550032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230055109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42550 + ... + 47650.

It is an arithmetic number, because the mean of its divisors is an integer number (7749938).

Almost surely, 2230055100 is an apocalyptic number.

230055100 is a gapful number since it is divisible by the number (20) 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 230055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278997768).

230055100 is an abundant number, since it is smaller than the sum of its proper divisors (327940436).

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

230055100 is a wasteful number, since it uses less digits than its factorization.

230055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 230055100 is about 15167.5673725222. The cubic root of 230055100 is about 612.7414902257.

The spelling of 230055100 in words is "two hundred thirty million, fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 5101 9020 10202 11275 20404 22550 25505 45100 51010 56111 102020 112222 127525 209141 224444 255050 280555 418282 510100 561110 836564 1045705 1122220 1402775 2091410 2300551 2805550 4182820 4601102 5228525 5611100 9202204 10457050 11502755 20914100 23005510 46011020 57513775 115027550 230055100