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228674240 = 2655991193
BaseRepresentation
bin11011010000101…
…00101011000000
3120221021212002022
431220110223000
5432020033430
634405141012
75444461514
oct1550245300
9527255068
10228674240
11108098383
12646ba768
13384b6a02
1422528144
15151204e5
hexda14ac0

228674240 has 56 divisors (see below), whose sum is σ = 545896800. Its totient is φ = 91240448.

The previous prime is 228674233. The next prime is 228674267. The reversal of 228674240 is 42476822.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 228674240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191084 + ... + 192276.

Almost surely, 2228674240 is an apocalyptic number.

228674240 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 228674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272948400).

228674240 is an abundant number, since it is smaller than the sum of its proper divisors (317222560).

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

228674240 is a wasteful number, since it uses less digits than its factorization.

228674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 228674240 is about 15121.9787065053. The cubic root of 228674240 is about 611.5130761756.

The spelling of 228674240 in words is "two hundred twenty-eight million, six hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 599 1193 1198 2386 2396 2995 4772 4792 5965 5990 9544 9584 11930 11980 19088 19168 23860 23960 38176 38336 47720 47920 76352 95440 95840 190880 191680 381760 714607 1429214 2858428 3573035 5716856 7146070 11433712 14292140 22867424 28584280 45734848 57168560 114337120 228674240