Search a number
-
+
234227840 = 275731197
BaseRepresentation
bin11011111011000…
…00100010000000
3121022202000012012
431331200202000
5434430242330
635124152052
75542622000
oct1575404200
9538660165
10234227840
11110240930
1266538628
13396ac772
1423172000
151586ac95
hexdf60880

234227840 has 256 divisors, whose sum is σ = 719712000. Its totient is φ = 72253440.

The previous prime is 234227821. The next prime is 234227849. The reversal of 234227840 is 48722432.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 234227797 and 234227806.

It is not an unprimeable number, because it can be changed into a prime (234227849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2414672 + ... + 2414768.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2234227840 is an apocalyptic number.

234227840 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 234227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

234227840 is an abundant number, since it is smaller than the sum of its proper divisors (485484160).

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

234227840 is an equidigital number, since it uses as much as digits as its factorization.

234227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 234227840 is about 15304.5039122475. The cubic root of 234227840 is about 616.4239505812.

The spelling of 234227840 in words is "two hundred thirty-four million, two hundred twenty-seven thousand, eight hundred forty".