216151200 has 144 divisors (see below), whose sum is σ = 781824960. Its totient is φ = 57634560.

The previous prime is 216151157. The next prime is 216151207. The reversal of 216151200 is 2151612.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×216151200² = 93442682522880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (216151207) 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 23 ways as a sum of consecutive naturals, for example, 16597 + ... + 26603.

It is an arithmetic number, because the mean of its divisors is an integer number (5429340).

Almost surely, 2^216151200 is an apocalyptic number.

216151200 is a gapful number since it is divisible by the number (20) 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 216151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390912480).

216151200 is an abundant number, since it is smaller than the sum of its proper divisors (565673760).

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

216151200 is a wasteful number, since it uses less digits than its factorization.

216151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10036 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 216151200 is about 14702.0814852864. The cubic root of 216151200 is about 600.1399673460.

It can be divided in two parts, 2161 and 51200, that added together give a square (53361 = 231²).

The spelling of 216151200 in words is "two hundred sixteen million, one hundred fifty-one thousand, two hundred".