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228022880 = 255612383
BaseRepresentation
bin11011001011101…
…01101001100000
3120220001202120212
431211311221200
5431333213010
634343153252
75436106511
oct1545655140
9526052525
10228022880
11107792a68
1264445828
13383193a7
14223d8a08
1515042505
hexd975a60

228022880 has 72 divisors (see below), whose sum is σ = 549110016. Its totient is φ = 89479680.

The previous prime is 228022859. The next prime is 228022891. The reversal of 228022880 is 88220822.

It is a happy number.

228022880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595169 + ... + 595551.

It is an arithmetic number, because the mean of its divisors is an integer number (7626528).

Almost surely, 2228022880 is an apocalyptic number.

228022880 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 228022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274555008).

228022880 is an abundant number, since it is smaller than the sum of its proper divisors (321087136).

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

228022880 is an equidigital number, since it uses as much as digits as its factorization.

228022880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 228022880 is about 15100.4264840434. The cubic root of 228022880 is about 610.9319089129.

The spelling of 228022880 in words is "two hundred twenty-eight million, twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 383 488 610 766 976 1220 1532 1915 1952 2440 3064 3721 3830 4880 6128 7442 7660 9760 12256 14884 15320 18605 23363 29768 30640 37210 46726 59536 61280 74420 93452 116815 119072 148840 186904 233630 297680 373808 467260 595360 747616 934520 1425143 1869040 2850286 3738080 5700572 7125715 11401144 14251430 22802288 28502860 45604576 57005720 114011440 228022880