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111228444 = 2233432557
BaseRepresentation
bin1101010000100…
…11011000011100
321202021222202000
412220103120130
5211433302234
615012002300
72520266115
oct650233034
9252258660
10111228444
1157870638
1231300390
131a075562
1410ab520c
159b71899
hex6a1361c

111228444 has 72 divisors (see below), whose sum is σ = 295762320. Its totient is φ = 36148896.

The previous prime is 111228443. The next prime is 111228457. The reversal of 111228444 is 444822111.

It is a super-2 number, since 2×1112284442 = 24743533509322272, 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 (111228443) 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, 199414 + ... + 199970.

It is an arithmetic number, because the mean of its divisors is an integer number (4107810).

Almost surely, 2111228444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111228444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147881160).

111228444 is an abundant number, since it is smaller than the sum of its proper divisors (184533876).

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

111228444 is a wasteful number, since it uses less digits than its factorization.

111228444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 605 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 111228444 is about 10546.4896529604. The cubic root of 111228444 is about 480.9190205463.

The spelling of 111228444 in words is "one hundred eleven million, two hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 557 774 1114 1161 1548 1671 1849 2228 2322 3342 3698 4644 5013 5547 6684 7396 10026 11094 15039 16641 20052 22188 23951 30078 33282 47902 49923 60156 66564 71853 95804 99846 143706 199692 215559 287412 431118 646677 862236 1029893 1293354 2059786 2586708 3089679 4119572 6179358 9269037 12358716 18538074 27807111 37076148 55614222 111228444