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228272120 = 23510156503
BaseRepresentation
bin11011001101100…
…10011111111000
3120220112102110222
431212302133320
5431414201440
634352355212
75441165246
oct1546623770
9526472428
10228272120
1110794324a
1264545b08
13383a597b
1422461796
15150912b5
hexd9b27f8

228272120 has 32 divisors (see below), whose sum is σ = 518706720. Its totient is φ = 90403200.

The previous prime is 228272119. The next prime is 228272131. The reversal of 228272120 is 21272822.

It is a self number, because there is not a number n which added to its sum of digits gives 228272120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24212 + ... + 32291.

It is an arithmetic number, because the mean of its divisors is an integer number (16209585).

Almost surely, 2228272120 is an apocalyptic number.

228272120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228272120 is an abundant number, since it is smaller than the sum of its proper divisors (290434600).

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

228272120 is a wasteful number, since it uses less digits than its factorization.

228272120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56615 (or 56611 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 228272120 is about 15108.6769771546. The cubic root of 228272120 is about 611.1544205363.

The spelling of 228272120 in words is "two hundred twenty-eight million, two hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 56503 113006 226012 282515 452024 565030 1130060 2260120 5706803 11413606 22827212 28534015 45654424 57068030 114136060 228272120