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228453120 = 2832572833
BaseRepresentation
bin11011001110111…
…10101100000000
3120220212121202200
431213132230000
5431440444440
634400313200
75442551040
oct1547365400
9526777680
10228453120
11107a57235
1264612800
133843a17c
14224ab720
15150c9c30
hexd9deb00

228453120 has 216 divisors, whose sum is σ = 903660576. Its totient is φ = 52199424.

The previous prime is 228453119. The next prime is 228453149. The reversal of 228453120 is 21354822.

228453120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79224 + ... + 82056.

Almost surely, 2228453120 is an apocalyptic number.

228453120 is a gapful number since it is divisible by the number (20) 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 228453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451830288).

228453120 is an abundant number, since it is smaller than the sum of its proper divisors (675207456).

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

228453120 is a wasteful number, since it uses less digits than its factorization.

228453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 228453120 is about 15114.6657257116. The cubic root of 228453120 is about 611.3159086847.

The spelling of 228453120 in words is "two hundred twenty-eight million, four hundred fifty-three thousand, one hundred twenty".