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103551228 = 2232112971127
BaseRepresentation
bin1100010110000…
…01000011111100
321012211221120200
412023001003330
5203002114403
614135243500
72365112424
oct613010374
9235757520
10103551228
11534a7630
122a819590
13185b8021
14da77484
159156ca3
hex62c10fc

103551228 has 144 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 29635200.

The previous prime is 103551209. The next prime is 103551251. The reversal of 103551228 is 822155301.

It is a happy number.

103551228 is a `hidden beast` number, since 103 + 551 + 2 + 2 + 8 = 666.

It is a super-3 number, since 3×1035512283 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815301 + ... + 815427.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2103551228 is an apocalyptic number.

103551228 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 103551228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

103551228 is an abundant number, since it is smaller than the sum of its proper divisors (198364932).

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

103551228 is a wasteful number, since it uses less digits than its factorization.

103551228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 103551228 is about 10176.0123820679. The cubic root of 103551228 is about 469.5895435644.

The spelling of 103551228 in words is "one hundred three million, five hundred fifty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 71 87 99 116 127 132 142 174 198 213 254 261 284 319 348 381 396 426 508 522 638 639 762 781 852 957 1044 1143 1276 1278 1397 1524 1562 1914 2059 2286 2343 2556 2794 2871 3124 3683 3828 4118 4191 4572 4686 5588 5742 6177 7029 7366 8236 8382 9017 9372 11049 11484 12354 12573 14058 14732 16764 18034 18531 22098 22649 24708 25146 27051 28116 33147 36068 37062 40513 44196 45298 50292 54102 66294 67947 74124 81026 81153 90596 99187 108204 121539 132588 135894 162052 162306 198374 203841 243078 261493 271788 297561 324612 364617 396748 407682 486156 522986 595122 729234 784479 815364 892683 1045972 1190244 1458468 1568958 1785366 2353437 2876423 3137916 3570732 4706874 5752846 8629269 9413748 11505692 17258538 25887807 34517076 51775614 103551228