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215315420 = 225232232099
BaseRepresentation
bin11001101010101…
…11001111011100
3120000011011020012
430311113033130
5420110043140
633210542352
75223102515
oct1465271734
9500134205
10215315420
111005a3731
12601379b8
13357ba398
142084ba0c
1513d82265
hexcd573dc

215315420 has 48 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 81973056.

The previous prime is 215315417. The next prime is 215315431. The reversal of 215315420 is 24513512.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 101531 + ... + 103629.

It is an arithmetic number, because the mean of its divisors is an integer number (9878400).

Almost surely, 2215315420 is an apocalyptic number.

215315420 is a gapful number since it is divisible by the number (20) 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 215315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237081600).

215315420 is an abundant number, since it is smaller than the sum of its proper divisors (258847780).

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

215315420 is a wasteful number, since it uses less digits than its factorization.

215315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 215315420 is about 14673.6300893814. The cubic root of 215315420 is about 599.3654587953.

Adding to 215315420 its reverse (24513512), we get a palindrome (239828932).

The spelling of 215315420 in words is "two hundred fifteen million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 223 230 446 460 892 1115 2099 2230 4198 4460 5129 8396 10258 10495 20516 20990 25645 41980 48277 51290 96554 102580 193108 241385 468077 482770 936154 965540 1872308 2340385 4680770 9361540 10765771 21531542 43063084 53828855 107657710 215315420