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228696440 = 23574091997
BaseRepresentation
bin11011010000110…
…10000101111000
3120221022222112112
431220122011320
5432021241230
634405431452
75444613320
oct1550320570
9527288475
10228696440
11108103025
126470b588
13384c3b4b
1422532280
1515126d95
hexda1a178

228696440 has 64 divisors (see below), whose sum is σ = 589809600. Its totient is φ = 78179328.

The previous prime is 228696439. The next prime is 228696443. The reversal of 228696440 is 44696822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228696443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113522 + ... + 115518.

It is an arithmetic number, because the mean of its divisors is an integer number (9215775).

Almost surely, 2228696440 is an apocalyptic number.

228696440 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 228696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294904800).

228696440 is an abundant number, since it is smaller than the sum of its proper divisors (361113160).

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

228696440 is a wasteful number, since it uses less digits than its factorization.

228696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 228696440 is about 15122.7127196148. The cubic root of 228696440 is about 611.5328643701.

The spelling of 228696440 in words is "two hundred twenty-eight million, six hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 409 818 1636 1997 2045 2863 3272 3994 4090 5726 7988 8180 9985 11452 13979 14315 15976 16360 19970 22904 27958 28630 39940 55916 57260 69895 79880 111832 114520 139790 279580 559160 816773 1633546 3267092 4083865 5717411 6534184 8167730 11434822 16335460 22869644 28587055 32670920 45739288 57174110 114348220 228696440