Search a number
-
+
230220100 = 225211476173
BaseRepresentation
bin11011011100011…
…10000101000100
3121001012101121101
431232032011010
5432414020400
634502225444
75463560425
oct1556160504
9531171541
10230220100
11108a53850
1265125284
1338908516
142280b64c
151532856a
hexdb8e144

230220100 has 144 divisors (see below), whose sum is σ = 573463296. Its totient is φ = 79488000.

The previous prime is 230220083. The next prime is 230220101. The reversal of 230220100 is 1022032.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153664 + ... + 3153736.

It is an arithmetic number, because the mean of its divisors is an integer number (3982384).

Almost surely, 2230220100 is an apocalyptic number.

230220100 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 230220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286731648).

230220100 is an abundant number, since it is smaller than the sum of its proper divisors (343243196).

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

230220100 is a wasteful number, since it uses less digits than its factorization.

230220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 230220100 is about 15173.0056350085. The cubic root of 230220100 is about 612.8879452629.

Adding to 230220100 its reverse (1022032), we get a palindrome (231242132).

The spelling of 230220100 in words is "two hundred thirty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 61 73 94 100 110 122 146 188 220 235 244 275 292 305 365 470 517 550 610 671 730 803 940 1034 1100 1175 1220 1342 1460 1525 1606 1825 2068 2350 2585 2684 2867 3050 3212 3355 3431 3650 4015 4453 4700 5170 5734 6100 6710 6862 7300 8030 8906 10340 11468 12925 13420 13724 14335 16060 16775 17155 17812 20075 22265 25850 28670 31537 33550 34310 37741 40150 44530 48983 51700 57340 63074 67100 68620 71675 75482 80300 85775 89060 97966 111325 126148 143350 150964 157685 171550 188705 195932 209291 222650 244915 286700 315370 343100 377410 418582 445300 489830 630740 754820 788425 837164 943525 979660 1046455 1224575 1576850 1887050 2092910 2302201 2449150 3153700 3774100 4185820 4604402 4898300 5232275 9208804 10464550 11511005 20929100 23022010 46044020 57555025 115110050 230220100