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234222048 = 25322713001
BaseRepresentation
bin11011111010111…
…11000111100000
3121022201201020200
431331133013200
5434430101143
635124105200
75542566054
oct1575370740
9538651220
10234222048
11110237545
1266535200
13396a9c38
142316dc64
15158691d3
hexdf5f1e0

234222048 has 72 divisors (see below), whose sum is σ = 668749536. Its totient is φ = 77760000.

The previous prime is 234222047. The next prime is 234222049. The reversal of 234222048 is 840222432.

It is an interprime number because it is at equal distance from previous prime (234222047) and next prime (234222049).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234222047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76548 + ... + 79548.

It is an arithmetic number, because the mean of its divisors is an integer number (9288188).

Almost surely, 2234222048 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 234222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334374768).

234222048 is an abundant number, since it is smaller than the sum of its proper divisors (434527488).

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

234222048 is a wasteful number, since it uses less digits than its factorization.

234222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 234222048 is about 15304.3146857349. The cubic root of 234222048 is about 616.4188695499.

The spelling of 234222048 in words is "two hundred thirty-four million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1084 1626 2168 2439 3001 3252 4336 4878 6002 6504 8672 9003 9756 12004 13008 18006 19512 24008 26016 27009 36012 39024 48016 54018 72024 78048 96032 108036 144048 216072 288096 432144 813271 864288 1626542 2439813 3253084 4879626 6506168 7319439 9759252 13012336 14638878 19518504 26024672 29277756 39037008 58555512 78074016 117111024 234222048