Search a number
-
+
701220000 = 25354132931
BaseRepresentation
bin101001110010111…
…100010010100000
31210212110200000010
4221302330102200
52414003020000
6153325324520
723243162115
oct5162742240
91725420003
10701220000
1132a902a68
12176a06740
13b23787a0
14691b490c
1541863d50
hex29cbc4a0

701220000 has 480 divisors, whose sum is σ = 2645153280. Its totient is φ = 161280000.

The previous prime is 701219989. The next prime is 701220001. The reversal of 701220000 is 22107.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (701220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22619985 + ... + 22620015.

It is an arithmetic number, because the mean of its divisors is an integer number (5510736).

Almost surely, 2701220000 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 701220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322576640).

701220000 is an abundant number, since it is smaller than the sum of its proper divisors (1943933280).

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

701220000 is a wasteful number, since it uses less digits than its factorization.

701220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 701220000 is about 26480.5589064884. The cubic root of 701220000 is about 888.4195323037.

Adding to 701220000 its reverse (22107), we get a palindrome (701242107).

The spelling of 701220000 in words is "seven hundred one million, two hundred twenty thousand".