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11228952 = 233789751
BaseRepresentation
bin101010110101…
…011100011000
3210010111020010
4222311130120
510333311302
61040401520
7164305320
oct52653430
923114203
1011228952
11637a529
1239162a0
132432067
1416c4280
15ebc16c
hexab5718

11228952 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 3168000.

The previous prime is 11228929. The next prime is 11228963. The reversal of 11228952 is 25982211.

11228952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14577 + ... + 15327.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 211228952 is an apocalyptic number.

11228952 is a gapful number since it is divisible by the number (12) 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 11228952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

11228952 is an abundant number, since it is smaller than the sum of its proper divisors (21257448).

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

11228952 is a wasteful number, since it uses less digits than its factorization.

11228952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 11228952 is about 3350.9628467054. The cubic root of 11228952 is about 223.9304099303.

The spelling of 11228952 in words is "eleven million, two hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 751 1068 1246 1502 1869 2136 2253 2492 3004 3738 4506 4984 5257 6008 7476 9012 10514 14952 15771 18024 21028 31542 42056 63084 66839 126168 133678 200517 267356 401034 467873 534712 802068 935746 1403619 1604136 1871492 2807238 3742984 5614476 11228952