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211403424 = 25319115901
BaseRepresentation
bin11001001100111…
…00001010100000
3112201210101222110
430212130022200
5413104402144
632551035320
75144620341
oct1446341240
9481711873
10211403424
11a9371581
125a96bb40
1334a4a8ab
14201100c8
151385d0b9
hexc99c2a0

211403424 has 48 divisors (see below), whose sum is σ = 584146080. Its totient is φ = 66758400.

The previous prime is 211403389. The next prime is 211403441. The reversal of 211403424 is 424304112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 211403424.

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 7 ways as a sum of consecutive naturals, for example, 56127 + ... + 59774.

It is an arithmetic number, because the mean of its divisors is an integer number (12169710).

Almost surely, 2211403424 is an apocalyptic number.

211403424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211403424 is an abundant number, since it is smaller than the sum of its proper divisors (372742656).

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

211403424 is a wasteful number, since it uses less digits than its factorization.

211403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115933 (or 115925 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 211403424 is about 14539.7188418484. The cubic root of 211403424 is about 595.7133585532.

Adding to 211403424 its reverse (424304112), we get a palindrome (635707536).

The spelling of 211403424 in words is "two hundred eleven million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 115901 231802 347703 463604 695406 927208 1390812 1854416 2202119 2781624 3708832 4404238 5563248 6606357 8808476 11126496 13212714 17616952 26425428 35233904 52850856 70467808 105701712 211403424