Search a number
-
+
215226900 = 2232527127269
BaseRepresentation
bin11001101010000…
…01101000010100
3112222222122210200
430311001220110
5420044230100
633205020500
75222253450
oct1465015024
9488878720
10215226900
11100543179
12600b4730
1335788cc5
1420827660
1513d65e00
hexcd41a14

215226900 has 216 divisors, whose sum is σ = 779950080. Its totient is φ = 48625920.

The previous prime is 215226883. The next prime is 215226923. The reversal of 215226900 is 9622512.

It is a super-2 number, since 2×2152269002 = 92645236967220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 799966 + ... + 800234.

It is an arithmetic number, because the mean of its divisors is an integer number (3610880).

Almost surely, 2215226900 is an apocalyptic number.

215226900 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 215226900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

215226900 is an abundant number, since it is smaller than the sum of its proper divisors (564723180).

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

215226900 is a wasteful number, since it uses less digits than its factorization.

215226900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 215226900 is about 14670.6134841049. The cubic root of 215226900 is about 599.2833109355.

The spelling of 215226900 in words is "two hundred fifteen million, two hundred twenty-six thousand, nine hundred".