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228283840 = 2656011187
BaseRepresentation
bin11011001101101…
…01010111000000
3120220120000120001
431212311113000
5431420040330
634352525344
75441244361
oct1546652700
9526500501
10228283840
11107951034
1264550854
13383ab0c5
1422465b68
15150949ca
hexd9b55c0

228283840 has 56 divisors (see below), whose sum is σ = 544964112. Its totient is φ = 91084800.

The previous prime is 228283829. The next prime is 228283849. The reversal of 228283840 is 48382822.

228283840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2282838402 = 104227023210291200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228283840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228283849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191727 + ... + 192913.

It is an arithmetic number, because the mean of its divisors is an integer number (9731502).

Almost surely, 2228283840 is an apocalyptic number.

228283840 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 228283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272482056).

228283840 is an abundant number, since it is smaller than the sum of its proper divisors (316680272).

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

228283840 is a wasteful number, since it uses less digits than its factorization.

228283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 228283840 is about 15109.0648287708. The cubic root of 228283840 is about 611.1648797012.

The spelling of 228283840 in words is "two hundred twenty-eight million, two hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 601 1187 1202 2374 2404 3005 4748 4808 5935 6010 9496 9616 11870 12020 18992 19232 23740 24040 37984 38464 47480 48080 75968 94960 96160 189920 192320 379840 713387 1426774 2853548 3566935 5707096 7133870 11414192 14267740 22828384 28535480 45656768 57070960 114141920 228283840