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222053040 = 243251123253
BaseRepresentation
bin11010011110001…
…00001010110000
3120110211110111200
431033010022300
5423321144130
634011211200
75334263646
oct1517041260
9513743450
10222053040
11104385810
1262446b00
1337009041
14216c3196
1514763760
hexd3c42b0

222053040 has 360 divisors, whose sum is σ = 866475792. Its totient is φ = 50519040.

The previous prime is 222053011. The next prime is 222053113. The reversal of 222053040 is 40350222.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4189654 + ... + 4189706.

Almost surely, 2222053040 is an apocalyptic number.

222053040 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 222053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433237896).

222053040 is an abundant number, since it is smaller than the sum of its proper divisors (644422752).

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

222053040 is a wasteful number, since it uses less digits than its factorization.

222053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 222053040 is about 14901.4442253092. Note that the first 3 decimals coincide. The cubic root of 222053040 is about 605.5531130028.

The spelling of 222053040 in words is "two hundred twenty-two million, fifty-three thousand, forty".