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230041136 = 24133771421
BaseRepresentation
bin11011011011000…
…10011000110000
3121000212022010002
431231202120300
5432342304021
634454325132
75462213603
oct1555423060
9530768102
10230041136
11108941346
12650597a8
1338874c20
14227a233a
15152e050b
hexdb62630

230041136 has 80 divisors (see below), whose sum is σ = 501092928. Its totient is φ = 101606400.

The previous prime is 230041129. The next prime is 230041153. The reversal of 230041136 is 631140032.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 546206 + ... + 546626.

Almost surely, 2230041136 is an apocalyptic number.

230041136 is a gapful number since it is divisible by the number (26) 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 230041136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250546464).

230041136 is an abundant number, since it is smaller than the sum of its proper divisors (271051792).

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

230041136 is a wasteful number, since it uses less digits than its factorization.

230041136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 230041136 is about 15167.1070412258. The cubic root of 230041136 is about 612.7290924780.

Adding to 230041136 its reverse (631140032), we get a palindrome (861181168).

It can be divided in two parts, 23004 and 1136, that multiplied together give a square (26132544 = 51122).

The spelling of 230041136 in words is "two hundred thirty million, forty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 37 52 71 74 104 142 148 208 284 296 421 481 568 592 842 923 962 1136 1684 1846 1924 2627 3368 3692 3848 5254 5473 6736 7384 7696 10508 10946 14768 15577 21016 21892 29891 31154 34151 42032 43784 59782 62308 68302 87568 119564 124616 136604 202501 239128 249232 273208 388583 405002 478256 546416 777166 810004 1105967 1554332 1620008 2211934 3108664 3240016 4423868 6217328 8847736 14377571 17695472 28755142 57510284 115020568 230041136