Search a number
-
+
211421364 = 22371133161
BaseRepresentation
bin11001001101000…
…00100010110100
3112201211022120220
430212200202310
5413110440424
632551254340
75145023550
oct1446404264
9481738526
10211421364
11a9384000
125a97a3b0
1334a55acb
1420116860
1513863579
hexc9a08b4

211421364 has 192 divisors, whose sum is σ = 650625024. Its totient is φ = 52272000.

The previous prime is 211421321. The next prime is 211421387. The reversal of 211421364 is 463124112.

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 3465894 + ... + 3465954.

It is an arithmetic number, because the mean of its divisors is an integer number (3388672).

Almost surely, 2211421364 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 211421364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325312512).

211421364 is an abundant number, since it is smaller than the sum of its proper divisors (439203660).

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

211421364 is a wasteful number, since it uses less digits than its factorization.

211421364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 211421364 is about 14540.3357595346. The cubic root of 211421364 is about 595.7302091087.

Adding to 211421364 its reverse (463124112), we get a palindrome (674545476).

The spelling of 211421364 in words is "two hundred eleven million, four hundred twenty-one thousand, three hundred sixty-four".