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290232 = 233229139
BaseRepresentation
bin1000110110110111000
3112202010100
41012312320
533241412
610115400
72316105
oct1066670
9482110
10290232
11189068
1211bb60
13a2147
1477aac
155aedc
hex46db8

290232 has 48 divisors (see below), whose sum is σ = 819000. Its totient is φ = 92736.

The previous prime is 290219. The next prime is 290233. The reversal of 290232 is 232092.

It is a super-2 number, since 2×2902322 = 168469227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290232.

It is not an unprimeable number, because it can be changed into a prime (290233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2019 + ... + 2157.

2290232 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 290232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409500).

290232 is an abundant number, since it is smaller than the sum of its proper divisors (528768).

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

290232 is a wasteful number, since it uses less digits than its factorization.

290232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 290232 is about 538.7318442416. The cubic root of 290232 is about 66.2087057246.

The spelling of 290232 in words is "two hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 139 174 232 261 278 348 417 522 556 696 834 1044 1112 1251 1668 2088 2502 3336 4031 5004 8062 10008 12093 16124 24186 32248 36279 48372 72558 96744 145116 290232