Search a number
-
+
234461500 = 22537135153
BaseRepresentation
bin11011111100110…
…01100100111100
3121100011212201021
431332121210330
5440010232000
635133153524
75544614140
oct1576314474
9540155637
10234461500
11110390439
126662b8a4
1339761c20
14231d3220
15158b511a
hexdf9993c

234461500 has 96 divisors (see below), whose sum is σ = 630354816. Its totient is φ = 74188800.

The previous prime is 234461497. The next prime is 234461509. The reversal of 234461500 is 5164432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234461509) 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 31 ways as a sum of consecutive naturals, for example, 42924 + ... + 48076.

It is an arithmetic number, because the mean of its divisors is an integer number (6566196).

Almost surely, 2234461500 is an apocalyptic number.

234461500 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 234461500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315177408).

234461500 is an abundant number, since it is smaller than the sum of its proper divisors (395893316).

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

234461500 is a wasteful number, since it uses less digits than its factorization.

234461500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 234461500 is about 15312.1357099524. The cubic root of 234461500 is about 616.6288589758.

The spelling of 234461500 in words is "two hundred thirty-four million, four hundred sixty-one thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 125 130 140 175 182 250 260 325 350 364 455 500 650 700 875 910 1300 1625 1750 1820 2275 3250 3500 4550 5153 6500 9100 10306 11375 20612 22750 25765 36071 45500 51530 66989 72142 103060 128825 133978 144284 180355 257650 267956 334945 360710 468923 515300 644125 669890 721420 901775 937846 1288250 1339780 1674725 1803550 1875692 2344615 2576500 3349450 3607100 4508875 4689230 6698900 8373625 9017750 9378460 11723075 16747250 18035500 23446150 33494500 46892300 58615375 117230750 234461500