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222983040 = 2735747353
BaseRepresentation
bin11010100101001…
…11001110000000
3120112120201020010
431102213032000
5424040424130
634043144520
75345216220
oct1522471600
9515521203
10222983040
11104960505
1262815140
1337273437
1421886080
15148990b0
hexd4a7380

222983040 has 256 divisors, whose sum is σ = 831928320. Its totient is φ = 49741824.

The previous prime is 222983039. The next prime is 222983077. The reversal of 222983040 is 40389222.

It is a super-2 number, since 2×2229830402 = 99442872255283200, which contains 22 as substring.

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 = 222982989 and 222983007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631504 + ... + 631856.

It is an arithmetic number, because the mean of its divisors is an integer number (3249720).

Almost surely, 2222983040 is an apocalyptic number.

222983040 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 222983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415964160).

222983040 is an abundant number, since it is smaller than the sum of its proper divisors (608945280).

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

222983040 is a wasteful number, since it uses less digits than its factorization.

222983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 222983040 is about 14932.6166494690. The cubic root of 222983040 is about 606.3973257285.

The spelling of 222983040 in words is "two hundred twenty-two million, nine hundred eighty-three thousand, forty".