Search a number
-
+
10383228 = 223473439
BaseRepresentation
bin100111100110…
…111101111100
3201112112010000
4213212331330
510124230403
61010314300
7154153542
oct47467574
921475100
1010383228
115952089
123588990
1321c712b
141543d92
15da17a3
hex9e6f7c

10383228 has 60 divisors (see below), whose sum is σ = 27578320. Its totient is φ = 3405888.

The previous prime is 10383211. The next prime is 10383229. The reversal of 10383228 is 82238301.

It is a super-2 number, since 2×103832282 = 215622847399968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10383229) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23433 + ... + 23871.

Almost surely, 210383228 is an apocalyptic number.

10383228 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 10383228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789160).

10383228 is an abundant number, since it is smaller than the sum of its proper divisors (17195092).

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

10383228 is a wasteful number, since it uses less digits than its factorization.

10383228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10383228 is about 3222.3016618560. The cubic root of 10383228 is about 218.1611747514.

The spelling of 10383228 in words is "ten million, three hundred eighty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 439 657 876 878 1314 1317 1756 1971 2628 2634 3942 3951 5268 5913 7884 7902 11826 11853 15804 23652 23706 32047 35559 47412 64094 71118 96141 128188 142236 192282 288423 384564 576846 865269 1153692 1730538 2595807 3461076 5191614 10383228