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215212420 = 22543251997
BaseRepresentation
bin11001101001111…
…10000110000100
3112222221220221101
430310332012010
5420043244140
633204425444
75222163313
oct1464760604
9488856841
10215212420
11100533305
12600a8284
1335782537
142082227a
1513d6199a
hexcd3e184

215212420 has 48 divisors (see below), whose sum is σ = 464764608. Its totient is φ = 83664000.

The previous prime is 215212409. The next prime is 215212427. The reversal of 215212420 is 24212512.

It is not an unprimeable number, because it can be changed into a prime (215212427) 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 15 ways as a sum of consecutive naturals, for example, 215362 + ... + 216358.

It is an arithmetic number, because the mean of its divisors is an integer number (9682596).

Almost surely, 2215212420 is an apocalyptic number.

215212420 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 215212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232382304).

215212420 is an abundant number, since it is smaller than the sum of its proper divisors (249552188).

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

215212420 is a wasteful number, since it uses less digits than its factorization.

215212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 215212420 is about 14670.1199722429. The cubic root of 215212420 is about 599.2698711394.

Adding to 215212420 its reverse (24212512), we get a palindrome (239424932).

The spelling of 215212420 in words is "two hundred fifteen million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 251 430 502 860 997 1004 1255 1994 2510 3988 4985 5020 9970 10793 19940 21586 42871 43172 53965 85742 107930 171484 214355 215860 250247 428710 500494 857420 1000988 1251235 2502470 5004940 10760621 21521242 43042484 53803105 107606210 215212420