Search a number
-
+
103020228 = 2233732179
BaseRepresentation
bin1100010001111…
…11011011000100
321011211222012000
412020333123010
5202333121403
614120025300
72360441343
oct610773304
9234758160
10103020228
1153174693
122a602230
131846041c
14d979b5a
15909e7a3
hex623f6c4

103020228 has 72 divisors (see below), whose sum is σ = 272311200. Its totient is φ = 33680448.

The previous prime is 103020227. The next prime is 103020271. The reversal of 103020228 is 822020301.

It is a happy number.

103020228 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030202282 = 21226334754343968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

103020228 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 103020228.

It is not an unprimeable number, because it can be changed into a prime (103020227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575443 + ... + 575621.

It is an arithmetic number, because the mean of its divisors is an integer number (3782100).

Almost surely, 2103020228 is an apocalyptic number.

103020228 is a gapful number since it is divisible by the number (18) 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 103020228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136155600).

103020228 is an abundant number, since it is smaller than the sum of its proper divisors (169290972).

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

103020228 is a wasteful number, since it uses less digits than its factorization.

103020228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103020228 is about 10149.8880782007. Note that the first 3 decimals coincide. The cubic root of 103020228 is about 468.7854987516.

Adding to 103020228 its reverse (822020301), we get a palindrome (925040529).

The spelling of 103020228 in words is "one hundred three million, twenty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 179 219 292 358 438 537 657 716 876 1074 1314 1611 1971 2148 2628 3222 3942 4833 5329 6444 7884 9666 10658 13067 15987 19332 21316 26134 31974 39201 47961 52268 63948 78402 95922 117603 143883 156804 191844 235206 287766 352809 470412 575532 705618 953891 1411236 1907782 2861673 3815564 5723346 8585019 11446692 17170038 25755057 34340076 51510114 103020228