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228996480 = 2735412909
BaseRepresentation
bin11011010011000…
…11010110000000
3120221220020010010
431221203112000
5432110341410
634420104520
75450303136
oct1551432600
9527806103
10228996480
11108298499
1264835140
133859a59b
14225ad756
1515185c20
hexda63580

228996480 has 128 divisors (see below), whose sum is σ = 747986400. Its totient is φ = 59555840.

The previous prime is 228996479. The next prime is 228996491. The reversal of 228996480 is 84699822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77266 + ... + 80174.

Almost surely, 2228996480 is an apocalyptic number.

228996480 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 228996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373993200).

228996480 is an abundant number, since it is smaller than the sum of its proper divisors (518989920).

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

228996480 is a wasteful number, since it uses less digits than its factorization.

228996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 228996480 is about 15132.6296459009. The cubic root of 228996480 is about 611.8001825348.

The spelling of 228996480 in words is "two hundred twenty-eight million, nine hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 2909 3280 3936 4920 5248 5818 6560 7872 8727 9840 11636 13120 14545 15744 17454 19680 23272 26240 29090 34908 39360 43635 46544 58180 69816 78720 87270 93088 116360 119269 139632 174540 186176 232720 238538 279264 349080 357807 372352 465440 477076 558528 596345 698160 715614 930880 954152 1117056 1192690 1396320 1431228 1789035 1861760 1908304 2385380 2792640 2862456 3578070 3816608 4770760 5585280 5724912 7156140 7633216 9541520 11449824 14312280 15266432 19083040 22899648 28624560 38166080 45799296 57249120 76332160 114498240 228996480