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228069480 = 233531371657
BaseRepresentation
bin11011001100000…
…01000001101000
3120220011010111210
431212001001220
5431341210410
634344153120
75436362412
oct1546010150
9526133453
10228069480
11107814a81
12644687a0
1338334672
142240b9b2
1515051220
hexd981068

228069480 has 128 divisors (see below), whose sum is σ = 725806080. Its totient is φ = 57231360.

The previous prime is 228069431. The next prime is 228069481. The reversal of 228069480 is 84960822.

It is not an unprimeable number, because it can be changed into a prime (228069481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136812 + ... + 138468.

It is an arithmetic number, because the mean of its divisors is an integer number (5670360).

Almost surely, 2228069480 is an apocalyptic number.

228069480 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 228069480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362903040).

228069480 is an abundant number, since it is smaller than the sum of its proper divisors (497736600).

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

228069480 is a wasteful number, since it uses less digits than its factorization.

228069480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 228069480 is about 15101.9694079944. The cubic root of 228069480 is about 610.9735238710.

The spelling of 228069480 in words is "two hundred twenty-eight million, sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 248 296 310 370 372 444 465 555 620 740 744 888 930 1110 1147 1240 1480 1657 1860 2220 2294 3314 3441 3720 4440 4588 4971 5735 6628 6882 8285 9176 9942 11470 13256 13764 16570 17205 19884 22940 24855 27528 33140 34410 39768 45880 49710 51367 61309 66280 68820 99420 102734 122618 137640 154101 183927 198840 205468 245236 256835 306545 308202 367854 410936 490472 513670 613090 616404 735708 770505 919635 1027340 1226180 1232808 1471416 1541010 1839270 1900579 2054680 2452360 3082020 3678540 3801158 5701737 6164040 7357080 7602316 9502895 11403474 15204632 19005790 22806948 28508685 38011580 45613896 57017370 76023160 114034740 228069480