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230024124 = 223411233277
BaseRepresentation
bin11011011010111…
…10001110111100
3121000211102210000
431231132032330
5432341232444
634454114300
75462113161
oct1555361674
9530742700
10230024124
1110892a590
126504b990
133886a265
142279a068
15152da469
hexdb5e3bc

230024124 has 120 divisors (see below), whose sum is σ = 661188528. Its totient is φ = 69154560.

The previous prime is 230024111. The next prime is 230024131. The reversal of 230024124 is 421420032.

It is a super-2 number, since 2×2300241242 = 105822195243934752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 230024097 and 230024106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 830274 + ... + 830550.

Almost surely, 2230024124 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 230024124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330594264).

230024124 is an abundant number, since it is smaller than the sum of its proper divisors (431164404).

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

230024124 is a wasteful number, since it uses less digits than its factorization.

230024124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230024124 is about 15166.5462119759. The cubic root of 230024124 is about 612.7139879268.

Adding to 230024124 its reverse (421420032), we get a palindrome (651444156).

The spelling of 230024124 in words is "two hundred thirty million, twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 233 277 297 324 396 466 554 594 699 831 891 932 1108 1188 1398 1662 1782 2097 2493 2563 2796 3047 3324 3564 4194 4986 5126 6094 6291 7479 7689 8388 9141 9972 10252 12188 12582 14958 15378 18282 18873 22437 23067 25164 27423 29916 30756 36564 37746 44874 46134 54846 64541 69201 75492 82269 89748 92268 109692 129082 138402 164538 193623 207603 246807 258164 276804 329076 387246 415206 493614 580869 709951 774492 830412 987228 1161738 1419902 1742607 2129853 2323476 2839804 3485214 4259706 5227821 6389559 6970428 8519412 10455642 12779118 19168677 20911284 25558236 38337354 57506031 76674708 115012062 230024124