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228902040 = 233251913329
BaseRepresentation
bin11011010010011…
…00010010011000
3120221201102120100
431221030102120
5432044331130
634414055400
75446430613
oct1551142230
9527642510
10228902040
11108233544
12647aa560
13385665c3
142258717a
1515167c60
hexda4c498

228902040 has 96 divisors (see below), whose sum is σ = 748051200. Its totient is φ = 60702720.

The previous prime is 228902039. The next prime is 228902077. The reversal of 228902040 is 40209822.

228902040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2289020402 = 104792287832323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228901995 and 228902013.

It is a congruent number.

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, 67096 + ... + 70424.

It is an arithmetic number, because the mean of its divisors is an integer number (7792200).

Almost surely, 2228902040 is an apocalyptic number.

228902040 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 228902040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374025600).

228902040 is an abundant number, since it is smaller than the sum of its proper divisors (519149160).

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

228902040 is a wasteful number, since it uses less digits than its factorization.

228902040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228902040 is about 15129.5089147004. The cubic root of 228902040 is about 611.7160671897.

The spelling of 228902040 in words is "two hundred twenty-eight million, nine hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 191 360 382 573 764 955 1146 1528 1719 1910 2292 2865 3329 3438 3820 4584 5730 6658 6876 7640 8595 9987 11460 13316 13752 16645 17190 19974 22920 26632 29961 33290 34380 39948 49935 59922 66580 68760 79896 99870 119844 133160 149805 199740 239688 299610 399480 599220 635839 1198440 1271678 1907517 2543356 3179195 3815034 5086712 5722551 6358390 7630068 9537585 11445102 12716780 15260136 19075170 22890204 25433560 28612755 38150340 45780408 57225510 76300680 114451020 228902040