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2228624 = 24197331
BaseRepresentation
bin1000100000000110010000
311012020002122
420200012100
51032303444
6115433412
724641306
oct10400620
94166078
102228624
111292442
128b5868
13600518
14420276
152e04ee
hex220190

2228624 has 20 divisors (see below), whose sum is σ = 4545840. Its totient is φ = 1055520.

The previous prime is 2228591. The next prime is 2228657. The reversal of 2228624 is 4268222.

It is an interprime number because it is at equal distance from previous prime (2228591) and next prime (2228657).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2 + 27 + 217 + 8 + 6 + 221 + 44 .

It is a junction number, because it is equal to n+sod(n) for n = 2228593 and 2228602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3362 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (227292).

22228624 is an apocalyptic number.

It is an amenable number.

2228624 is an abundant number, since it is smaller than the sum of its proper divisors (2317216).

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

2228624 is a wasteful number, since it uses less digits than its factorization.

2228624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7352 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 2228624 is about 1492.8576623376. The cubic root of 2228624 is about 130.6207784630.

The spelling of 2228624 in words is "two million, two hundred twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 7331 14662 29324 58648 117296 139289 278578 557156 1114312 2228624