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228048720 = 24352234261
BaseRepresentation
bin11011001011110…
…11111101010000
3120220010002000220
431211323331100
5431340024340
634343513040
75436245034
oct1545737520
9526102026
10228048720
11107800419
1264458780
1338328093
14224041c4
1515049ed0
hexd97bf50

228048720 has 80 divisors (see below), whose sum is σ = 710287872. Its totient is φ = 60526080.

The previous prime is 228048719. The next prime is 228048731. The reversal of 228048720 is 27840822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51390 + ... + 55650.

Almost surely, 2228048720 is an apocalyptic number.

228048720 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 228048720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355143936).

228048720 is an abundant number, since it is smaller than the sum of its proper divisors (482239152).

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

228048720 is a wasteful number, since it uses less digits than its factorization.

228048720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 228048720 is about 15101.2820647785. The cubic root of 228048720 is about 610.9549853753.

The spelling of 228048720 in words is "two hundred twenty-eight million, forty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 223 240 446 669 892 1115 1338 1784 2230 2676 3345 3568 4261 4460 5352 6690 8522 8920 10704 12783 13380 17044 17840 21305 25566 26760 34088 42610 51132 53520 63915 68176 85220 102264 127830 170440 204528 255660 340880 511320 950203 1022640 1900406 2850609 3800812 4751015 5701218 7601624 9502030 11402436 14253045 15203248 19004060 22804872 28506090 38008120 45609744 57012180 76016240 114024360 228048720