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11985228 = 2232674969
BaseRepresentation
bin101101101110…
…000101001100
3211112220122100
4231232011030
511032011403
61104515100
7203605233
oct55560514
924486570
1011985228
116846752
12401ba90
132638368
14183db1a
1510bb2a3
hexb6e14c

11985228 has 36 divisors (see below), whose sum is σ = 30754360. Its totient is φ = 3934656.

The previous prime is 11985203. The next prime is 11985229. The reversal of 11985228 is 82258911.

11985228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11985192 and 11985201.

It is not an unprimeable number, because it can be changed into a prime (11985229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73 + ... + 4896.

Almost surely, 211985228 is an apocalyptic number.

11985228 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 11985228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377180).

11985228 is an abundant number, since it is smaller than the sum of its proper divisors (18769132).

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

11985228 is a wasteful number, since it uses less digits than its factorization.

11985228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5041 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 11985228 is about 3461.9688040189. The cubic root of 11985228 is about 228.8488670542.

The spelling of 11985228 in words is "eleven million, nine hundred eighty-five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4969 9938 14907 19876 29814 44721 59628 89442 178884 332923 665846 998769 1331692 1997538 2996307 3995076 5992614 11985228