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222882240 = 26357171951
BaseRepresentation
bin11010100100011…
…10100111000000
3120112101120221210
431102032213000
5424024212430
634041050120
75344316310
oct1522164700
9515346853
10222882240
111048a17a9
1262786940
13372395a9
142185b440
15148792b0
hexd48e9c0

222882240 has 224 divisors, whose sum is σ = 856756224. Its totient is φ = 47923200.

The previous prime is 222882239. The next prime is 222882241. The reversal of 222882240 is 42288222.

It is an interprime number because it is at equal distance from previous prime (222882239) and next prime (222882241).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222882198 and 222882207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222882241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113265 + ... + 115215.

Almost surely, 2222882240 is an apocalyptic number.

222882240 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 222882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428378112).

222882240 is an abundant number, since it is smaller than the sum of its proper divisors (633873984).

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

222882240 is a wasteful number, since it uses less digits than its factorization.

222882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 222882240 is about 14929.2411059638. The cubic root of 222882240 is about 606.3059375176.

The spelling of 222882240 in words is "two hundred twenty-two million, eight hundred eighty-two thousand, two hundred forty".