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230153056 = 2573792711
BaseRepresentation
bin11011011011111…
…01101101100000
3121001001222122021
431231331231200
5432404344211
634500551224
75463161110
oct1555755540
9531058567
10230153056
11108a08441
12650b2514
13388b3b53
14227d1040
1515313771
hexdb7db60

230153056 has 48 divisors (see below), whose sum is σ = 519402240. Its totient is φ = 98340480.

The previous prime is 230153029. The next prime is 230153057. The reversal of 230153056 is 650351032.

It is a happy number.

It is a super-2 number, since 2×2301530562 = 105940858372278272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230153056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230153057) 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 7 ways as a sum of consecutive naturals, for example, 83541 + ... + 86251.

It is an arithmetic number, because the mean of its divisors is an integer number (10820880).

Almost surely, 2230153056 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 230153056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259701120).

230153056 is an abundant number, since it is smaller than the sum of its proper divisors (289249184).

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

230153056 is a wasteful number, since it uses less digits than its factorization.

230153056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 230153056 is about 15170.7961557724. The cubic root of 230153056 is about 612.8284450298.

The spelling of 230153056 in words is "two hundred thirty million, one hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 379 758 1516 2653 2711 3032 5306 5422 6064 10612 10844 12128 18977 21224 21688 37954 42448 43376 75908 84896 86752 151816 303632 607264 1027469 2054938 4109876 7192283 8219752 14384566 16439504 28769132 32879008 57538264 115076528 230153056