Search a number
-
+
422284220864 = 2611631950611
BaseRepresentation
bin1100010010100100001…
…10011101100111000000
31111100222201021002012022
412021102012131213000
523404314230031424
6521554504221012
742336411436652
oct6112206354700
91440881232168
10422284220864
111530a9485360
1269a1216a768
1330a8a324c4c
141661d9aa6d2
15aeb7e6a95e
hex625219d9c0

422284220864 has 56 divisors (see below), whose sum is σ = 915599058816. Its totient is φ = 191642976000.

The previous prime is 422284220849. The next prime is 422284220867. The reversal of 422284220864 is 468022482224.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422284220867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31082 + ... + 919529.

Almost surely, 2422284220864 is an apocalyptic number.

422284220864 is a gapful number since it is divisible by the number (44) 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 422284220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457799529408).

422284220864 is an abundant number, since it is smaller than the sum of its proper divisors (493314837952).

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

422284220864 is a wasteful number, since it uses less digits than its factorization.

422284220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951265 (or 951255 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 44.

The spelling of 422284220864 in words is "four hundred twenty-two billion, two hundred eighty-four million, two hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 631 704 1262 2524 5048 6941 10096 13882 20192 27764 40384 55528 111056 222112 444224 950611 1901222 3802444 7604888 10456721 15209776 20913442 30419552 41826884 60839104 83653768 167307536 334615072 599835541 669230144 1199671082 2399342164 4798684328 6598190951 9597368656 13196381902 19194737312 26392763804 38389474624 52785527608 105571055216 211142110432 422284220864