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222798240 = 25325723312
BaseRepresentation
bin11010100011110…
…10000110100000
3120112020022201200
431101322012200
5424014020430
634035201200
75343516360
oct1521720640
9515208650
10222798240
11104844685
1262746200
133720a2a2
14218389a0
151485e460
hexd47a1a0

222798240 has 432 divisors, whose sum is σ = 936883584. Its totient is φ = 47139840.

The previous prime is 222798227. The next prime is 222798241. The reversal of 222798240 is 42897222.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 222798195 and 222798204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222798241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7187025 + ... + 7187055.

It is an arithmetic number, because the mean of its divisors is an integer number (2168712).

Almost surely, 2222798240 is an apocalyptic number.

222798240 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 222798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468441792).

222798240 is an abundant number, since it is smaller than the sum of its proper divisors (714085344).

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

222798240 is a wasteful number, since it uses less digits than its factorization.

222798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 222798240 is about 14926.4275699177. The cubic root of 222798240 is about 606.2297596247.

The spelling of 222798240 in words is "two hundred twenty-two million, seven hundred ninety-eight thousand, two hundred forty".