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222066240 = 263511171237
BaseRepresentation
bin11010011110001…
…11011001000000
3120110212010121120
431033013121000
5423322104430
634011352240
75334350304
oct1517073100
9513763546
10222066240
11104394720
1262452680
1337012056
14216c7d04
1514767610
hexd3c7640

222066240 has 224 divisors, whose sum is σ = 815059584. Its totient is φ = 50626560.

The previous prime is 222066227. The next prime is 222066263. The reversal of 222066240 is 42660222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222066240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178902 + ... + 180138.

Almost surely, 2222066240 is an apocalyptic number.

222066240 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 222066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407529792).

222066240 is an abundant number, since it is smaller than the sum of its proper divisors (592993344).

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

222066240 is a wasteful number, since it uses less digits than its factorization.

222066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 222066240 is about 14901.8871288169. The cubic root of 222066240 is about 605.5651118519.

The spelling of 222066240 in words is "two hundred twenty-two million, sixty-six thousand, two hundred forty".