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238489900 = 2252111911411
BaseRepresentation
bin11100011011100…
…01000100101100
3121121202112122021
432031301010230
5442023134100
635355355524
75624062555
oct1615610454
9547675567
10238489900
11112691aa0
1267a52ba4
133a5426ac
142396132c
1515e0da1a
hexe37112c

238489900 has 72 divisors (see below), whose sum is σ = 594336960. Its totient is φ = 82152000.

The previous prime is 238489879. The next prime is 238489903. The reversal of 238489900 is 9984832.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (238489903) 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 23 ways as a sum of consecutive naturals, for example, 15195 + ... + 26605.

It is an arithmetic number, because the mean of its divisors is an integer number (8254680).

Almost surely, 2238489900 is an apocalyptic number.

238489900 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 238489900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297168480).

238489900 is an abundant number, since it is smaller than the sum of its proper divisors (355847060).

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

238489900 is a wasteful number, since it uses less digits than its factorization.

238489900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11455 (or 11448 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 238489900 is about 15443.1182084448. The cubic root of 238489900 is about 620.1403601747.

The spelling of 238489900 in words is "two hundred thirty-eight million, four hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 11411 20900 22822 45644 57055 114110 125521 216809 228220 251042 285275 433618 502084 570550 627605 867236 1084045 1141100 1255210 2168090 2384899 2510420 3138025 4336180 4769798 5420225 6276050 9539596 10840450 11924495 12552100 21680900 23848990 47697980 59622475 119244950 238489900