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10032228 = 2233194889
BaseRepresentation
bin100110010001…
…010001100100
3200212200122000
4212101101210
510032012403
6555005300
7151162323
oct46212144
920780560
1010032228
1157323a8
123439830
13210343b
1414920ba
15d327a3
hex991464

10032228 has 48 divisors (see below), whose sum is σ = 27384000. Its totient is φ = 3167424.

The previous prime is 10032223. The next prime is 10032233. The reversal of 10032228 is 82223001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10032223) and next prime (10032233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10032228.

It is not an unprimeable number, because it can be changed into a prime (10032221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393 + ... + 4496.

It is an arithmetic number, because the mean of its divisors is an integer number (570500).

Almost surely, 210032228 is an apocalyptic number.

10032228 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 10032228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692000).

10032228 is an abundant number, since it is smaller than the sum of its proper divisors (17351772).

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

10032228 is a wasteful number, since it uses less digits than its factorization.

10032228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10032228 is about 3167.3692553916. The cubic root of 10032228 is about 215.6746645524.

Adding to 10032228 its reverse (82223001), we get a palindrome (92255229).

The spelling of 10032228 in words is "ten million, thirty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 4889 9778 14667 19556 29334 44001 58668 88002 92891 132003 176004 185782 264006 278673 371564 528012 557346 836019 1114692 1672038 2508057 3344076 5016114 10032228