Search a number
-
+
701536220 = 225711241413
BaseRepresentation
bin101001110100001…
…001011111011100
31210220001201202222
4221310021133130
52414043124340
6153340204512
723245650050
oct5164113734
91726051688
10701536220
1132aaa9600
12176b39738
13b24596b8
1469257c60
15418c78b5
hex29d097dc

701536220 has 72 divisors (see below), whose sum is σ = 1850708832. Its totient is φ = 218655360.

The previous prime is 701536217. The next prime is 701536223. The reversal of 701536220 is 22635107.

701536220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (701536217) and next prime (701536223).

It is a self number, because there is not a number n which added to its sum of digits gives 701536220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701536223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3767 + ... + 37646.

Almost surely, 2701536220 is an apocalyptic number.

701536220 is a gapful number since it is divisible by the number (70) 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 701536220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925354416).

701536220 is an abundant number, since it is smaller than the sum of its proper divisors (1149172612).

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

701536220 is a wasteful number, since it uses less digits than its factorization.

701536220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41451 (or 41438 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 701536220 is about 26486.5290289234. The cubic root of 701536220 is about 888.5530585413.

The spelling of 701536220 in words is "seven hundred one million, five hundred thirty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 41413 82826 165652 207065 289891 414130 455543 579782 828260 911086 1159564 1449455 1822172 2277715 2898910 3188801 4555430 5010973 5797820 6377602 9110860 10021946 12755204 15944005 20043892 25054865 31888010 35076811 50109730 63776020 70153622 100219460 140307244 175384055 350768110 701536220