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427221390 = 235174012089
BaseRepresentation
bin11001011101101…
…110000110001110
31002202220002120110
4121131232012032
51333332041030
6110220500450
713405215261
oct3135560616
91082802513
10427221390
111aa178832
12bb0aa726
136a68292b
1440a4ccd8
152778e1b0
hex1976e18e

427221390 has 64 divisors (see below), whose sum is σ = 1088873280. Its totient is φ = 106905600.

The previous prime is 427221371. The next prime is 427221391. The reversal of 427221390 is 93122724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427221391) 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, 203466 + ... + 205554.

It is an arithmetic number, because the mean of its divisors is an integer number (17013645).

Almost surely, 2427221390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427221390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544436640).

427221390 is an abundant number, since it is smaller than the sum of its proper divisors (661651890).

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

427221390 is a wasteful number, since it uses less digits than its factorization.

427221390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 427221390 is about 20669.3345321033. The cubic root of 427221390 is about 753.1549409652.

The spelling of 427221390 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 401 510 802 1203 2005 2089 2406 4010 4178 6015 6267 6817 10445 12030 12534 13634 20451 20890 31335 34085 35513 40902 62670 68170 71026 102255 106539 177565 204510 213078 355130 532695 837689 1065390 1675378 2513067 4188445 5026134 8376890 12565335 14240713 25130670 28481426 42722139 71203565 85444278 142407130 213610695 427221390