Search a number
-
+
230123748492 = 22341197766089
BaseRepresentation
bin1101011001010001110…
…0011011110010001100
3210222222201102122220000
43112110130123302030
512232243134422432
6253414542324300
722424452405431
oct3262434336214
9728881378800
10230123748492
118965a947310
1238723b89690
1318915221421
14b1d0b3db88
155ebcd9457c
hex359471bc8c

230123748492 has 120 divisors (see below), whose sum is σ = 656960507280. Its totient is φ = 69662039040.

The previous prime is 230123748467. The next prime is 230123748497. The reversal of 230123748492 is 294847321032.

230123748492 is a `hidden beast` number, since 2 + 30 + 123 + 7 + 4 + 8 + 492 = 666.

230123748492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230123748497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3448984 + ... + 3515072.

It is an arithmetic number, because the mean of its divisors is an integer number (5474670894).

Almost surely, 2230123748492 is an apocalyptic number.

230123748492 is a gapful number since it is divisible by the number (22) 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 230123748492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328480253640).

230123748492 is an abundant number, since it is smaller than the sum of its proper divisors (426836758788).

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

230123748492 is a wasteful number, since it uses less digits than its factorization.

230123748492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67093 (or 67082 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 230123748492 in words is "two hundred thirty billion, one hundred twenty-three million, seven hundred forty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 977 1188 1782 1954 2931 3564 3908 5862 8793 10747 11724 17586 21494 26379 32241 35172 42988 52758 64482 66089 79137 96723 105516 128964 132178 158274 193446 198267 264356 290169 316548 386892 396534 580338 594801 726979 793068 870507 1160676 1189602 1453958 1741014 1784403 2180937 2379204 2907916 3482028 3568806 4361874 5353209 6542811 7137612 8723748 10706418 13085622 19628433 21412836 26171244 39256866 58885299 64568953 78513732 117770598 129137906 193706859 235541196 258275812 387413718 581120577 710258483 774827436 1162241154 1420516966 1743361731 2130775449 2324482308 2841033932 3486723462 4261550898 5230085193 6392326347 6973446924 8523101796 10460170386 12784652694 19176979041 20920340772 25569305388 38353958082 57530937123 76707916164 115061874246 230123748492