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427221366 = 2311132321649
BaseRepresentation
bin11001011101101…
…110000101110110
31002202220002112120
4121131232011312
51333332040431
6110220500410
713405215225
oct3135560566
91082802476
10427221366
111aa178810
12bb0aa706
136a682910
1440a4ccbc
152778e196
hex1976e176

427221366 has 64 divisors (see below), whose sum is σ = 1047513600. Its totient is φ = 114301440.

The previous prime is 427221349. The next prime is 427221367. The reversal of 427221366 is 663122724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427221367) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8910 + ... + 30558.

It is an arithmetic number, because the mean of its divisors is an integer number (16367400).

Almost surely, 2427221366 is an apocalyptic number.

427221366 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 427221366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523756800).

427221366 is an abundant number, since it is smaller than the sum of its proper divisors (620292234).

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

427221366 is a wasteful number, since it uses less digits than its factorization.

427221366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21701.

The product of its digits is 24192, while the sum is 33.

The square root of 427221366 is about 20669.3339515331. Note that the first 3 decimals coincide. The cubic root of 427221366 is about 753.1549268618.

The spelling of 427221366 in words is "four hundred twenty-seven million, two hundred twenty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1518 1794 3289 6578 9867 19734 21649 43298 64947 129894 238139 281437 476278 497927 562874 714417 844311 995854 1428834 1493781 1688622 2987562 3095807 5477197 6191614 6473051 9287421 10954394 12946102 16431591 18574842 19419153 32863182 38838306 71203561 142407122 213610683 427221366