222465672 has 384 divisors, whose sum is σ = 792529920. Its totient is φ = 55296000.

The previous prime is 222465671. The next prime is 222465673. The reversal of 222465672 is 276564222.

It is an interprime number because it is at equal distance from previous prime (222465671) and next prime (222465673).

It is a super-3 number, since 3×222465672³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (222465671) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5425972 + ... + 5426012.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^222465672 is an apocalyptic number.

222465672 is a gapful number since it is divisible by the number (22) 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 222465672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

222465672 is an abundant number, since it is smaller than the sum of its proper divisors (570064248).

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

222465672 is a wasteful number, since it uses less digits than its factorization.

222465672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 222465672 is about 14915.2831686160. The cubic root of 222465672 is about 605.9279723562.

It can be divided in two parts, 2224 and 65672, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 222465672 in words is "two hundred twenty-two million, four hundred sixty-five thousand, six hundred seventy-two".