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222250144 = 2519438501
BaseRepresentation
bin11010011111101…
…00010010100000
3120111012110212211
431033310102200
5423344001034
634015331504
75336044414
oct1517642240
9514173784
10222250144
111044aa906
1262520b94
133707797c
1421734d44
15147a1d64
hexd3f44a0

222250144 has 48 divisors (see below), whose sum is σ = 471350880. Its totient is φ = 102816000.

The previous prime is 222250141. The next prime is 222250151. The reversal of 222250144 is 441052222.

It is not an unprimeable number, because it can be changed into a prime (222250141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21894 + ... + 30394.

It is an arithmetic number, because the mean of its divisors is an integer number (9819810).

Almost surely, 2222250144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235675440).

222250144 is an abundant number, since it is smaller than the sum of its proper divisors (249100736).

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

222250144 is a wasteful number, since it uses less digits than its factorization.

222250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 222250144 is about 14908.0563454798. The cubic root of 222250144 is about 605.7322318336.

It can be divided in two parts, 222250 and 144, that multiplied together give a triangular number (32004000 = T8000).

The spelling of 222250144 in words is "two hundred twenty-two million, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 43 76 86 152 172 304 344 608 688 817 1376 1634 3268 6536 8501 13072 17002 26144 34004 68008 136016 161519 272032 323038 365543 646076 731086 1292152 1462172 2584304 2924344 5168608 5848688 6945317 11697376 13890634 27781268 55562536 111125072 222250144