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2281049028 = 22321913125457
BaseRepresentation
bin1000011111110110…
…0000101111000100
312212222012022000100
42013331200233010
514132422032103
61014202444100
7110345411466
oct20775405704
95788168010
102281049028
11a70657995
12537b03630
132a476b36b
14178d38136
15d53cb5a3
hex87f60bc4

2281049028 has 72 divisors (see below), whose sum is σ = 6116029920. Its totient is φ = 714804480.

The previous prime is 2281048999. The next prime is 2281049039. The reversal of 2281049028 is 8209401822.

2281049028 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2281048983 and 2281049001.

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, 76876 + ... + 102332.

It is an arithmetic number, because the mean of its divisors is an integer number (84944860).

Almost surely, 22281049028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281049028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058014960).

2281049028 is an abundant number, since it is smaller than the sum of its proper divisors (3834980892).

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

2281049028 is a wasteful number, since it uses less digits than its factorization.

2281049028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25617 (or 25612 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2281049028 is about 47760.3290189672. The cubic root of 2281049028 is about 1316.3706985310.

The spelling of 2281049028 in words is "two billion, two hundred eighty-one million, forty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 131 171 228 262 342 393 524 684 786 1179 1572 2358 2489 4716 4978 7467 9956 14934 22401 25457 29868 44802 50914 76371 89604 101828 152742 229113 305484 458226 483683 916452 967366 1451049 1934732 2902098 3334867 4353147 5804196 6669734 8706294 10004601 13339468 17412588 20009202 30013803 40018404 60027606 63362473 120055212 126724946 190087419 253449892 380174838 570262257 760349676 1140524514 2281049028