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2228920 = 235103541
BaseRepresentation
bin1000100000001010111000
311012020111121
420200022320
51032311140
6115435024
724642211
oct10401270
94166447
102228920
111292691
128b5a74
136006b5
14420408
152e064a
hex2202b8

2228920 has 32 divisors (see below), whose sum is σ = 5073120. Its totient is φ = 881280.

The previous prime is 2228893. The next prime is 2228923. The reversal of 2228920 is 298222.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228923) 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, 3850 + ... + 4390.

It is an arithmetic number, because the mean of its divisors is an integer number (158535).

22228920 is an apocalyptic number.

2228920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228920 is an abundant number, since it is smaller than the sum of its proper divisors (2844200).

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

2228920 is a wasteful number, since it uses less digits than its factorization.

2228920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2228920 is about 1492.9567977674. The cubic root of 2228920 is about 130.6265611101.

The spelling of 2228920 in words is "two million, two hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 541 824 1030 1082 2060 2164 2705 4120 4328 5410 10820 21640 55723 111446 222892 278615 445784 557230 1114460 2228920