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221211126 = 23212289507
BaseRepresentation
bin11010010111101…
…10100111110110
3120102020200121200
431023312213312
5423112224001
633541153330
75324156253
oct1513664766
9512220550
10221211126
11103960214
12620bb846
1336aa2a76
142154442a
1514649086
hexd2f69f6

221211126 has 12 divisors (see below), whose sum is σ = 479290812. Its totient is φ = 73737036.

The previous prime is 221211083. The next prime is 221211127. The reversal of 221211126 is 621112122.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12289507 = 221211126 / (2 + 2 + 1 + 2 + 1 + 1 + 1 + 2 + 6).

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

It is a junction number, because it is equal to n+sod(n) for n = 221211099 and 221211108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6144736 + ... + 6144771.

It is an arithmetic number, because the mean of its divisors is an integer number (39940901).

Almost surely, 2221211126 is an apocalyptic number.

221211126 is an abundant number, since it is smaller than the sum of its proper divisors (258079686).

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

221211126 is a wasteful number, since it uses less digits than its factorization.

221211126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289515 (or 12289512 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 221211126 is about 14873.1679880246. The cubic root of 221211126 is about 604.7868256085.

Adding to 221211126 its reverse (621112122), we get a palindrome (842323248).

The spelling of 221211126 in words is "two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 12289507 24579014 36868521 73737042 110605563 221211126