2214267136 has 81 divisors (see below), whose sum is σ = 4722468331. Its totient is φ = 1035984896.

The previous prime is 2214267113. The next prime is 2214267179. The reversal of 2214267136 is 6317624122.

The square root of 2214267136 is 47056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1085307136 + 1128960000 = 32944^2 + 33600^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

Its product of digits (24192) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12799146 + ... + 12799318.

Almost surely, 2^2214267136 is an apocalyptic number.

2214267136 is the 47056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214267136

2214267136 is an abundant number, since it is smaller than the sum of its proper divisors (2508201195).

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

2214267136 is an frugal number, since it uses more digits than its factorization.

2214267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 192 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The cubic root of 2214267136 is about 1303.3968631078.

The spelling of 2214267136 in words is "two billion, two hundred fourteen million, two hundred sixty-seven thousand, one hundred thirty-six".