227212128 has 240 divisors, whose sum is σ = 786327696. Its totient is φ = 63452160.

The previous prime is 227212103. The next prime is 227212133. The reversal of 227212128 is 821212722.

It is a super-2 number, since 2×227212128² = 103250702220576768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370350 + ... + 370962.

Almost surely, 2^227212128 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 227212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393163848).

227212128 is an abundant number, since it is smaller than the sum of its proper divisors (559115568).

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

227212128 is a wasteful number, since it uses less digits than its factorization.

227212128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 642 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 227212128 is about 15073.5572443932. The cubic root of 227212128 is about 610.2069780472.

It can be divided in two parts, 2272 and 12128, that added together give a square (14400 = 120²).

The spelling of 227212128 in words is "two hundred twenty-seven million, two hundred twelve thousand, one hundred twenty-eight".