212763144 has 64 divisors (see below), whose sum is σ = 588487680. Its totient is φ = 63560000.

The previous prime is 212763107. The next prime is 212763151. The reversal of 212763144 is 441367212.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13069 + ... + 24419.

It is an arithmetic number, because the mean of its divisors is an integer number (9195120).

Almost surely, 2^212763144 is an apocalyptic number.

212763144 is a gapful number since it is divisible by the number (24) 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 212763144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294243840).

212763144 is an abundant number, since it is smaller than the sum of its proper divisors (375724536).

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

212763144 is a wasteful number, since it uses less digits than its factorization.

212763144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11442 (or 11438 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 212763144 is about 14586.4027093729. The cubic root of 212763144 is about 596.9878143126.

The spelling of 212763144 in words is "two hundred twelve million, seven hundred sixty-three thousand, one hundred forty-four".