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2228952 = 233118443
BaseRepresentation
bin1000100000001011011000
311012020112210
420200023120
51032311302
6115435120
724642255
oct10401330
94166483
102228952
111292710
128b5aa0
1360070b
1442042c
152e066c
hex2202d8

2228952 has 32 divisors (see below), whose sum is σ = 6079680. Its totient is φ = 675360.

The previous prime is 2228939. The next prime is 2228959. The reversal of 2228952 is 2598222.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 29 + 217 + 8 + 92 + 53 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3958 + ... + 4485.

It is an arithmetic number, because the mean of its divisors is an integer number (189990).

22228952 is an apocalyptic number.

2228952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2228952 is an abundant number, since it is smaller than the sum of its proper divisors (3850728).

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

2228952 is a wasteful number, since it uses less digits than its factorization.

2228952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8459 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2228952 is about 1492.9675147169. The cubic root of 2228952 is about 130.6271862305.

The spelling of 2228952 in words is "two million, two hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 8443 16886 25329 33772 50658 67544 92873 101316 185746 202632 278619 371492 557238 742984 1114476 2228952