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230411472 = 24317417197
BaseRepresentation
bin11011011101111…
…00110011010000
3121001120010010020
431232330303100
5432441131342
634510303440
75465315364
oct1556746320
9531503106
10230411472
11109074605
12651b7b80
1338974665
142285b2a4
15153650ec
hexdbbccd0

230411472 has 160 divisors (see below), whose sum is σ = 661457664. Its totient is φ = 68812800.

The previous prime is 230411471. The next prime is 230411483. The reversal of 230411472 is 274114032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230411471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375328 + ... + 2375424.

Almost surely, 2230411472 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 230411472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330728832).

230411472 is an abundant number, since it is smaller than the sum of its proper divisors (431046192).

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

230411472 is a wasteful number, since it uses less digits than its factorization.

230411472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 230411472 is about 15179.3106562848. The cubic root of 230411472 is about 613.0577206323.

The spelling of 230411472 in words is "two hundred thirty million, four hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 71 82 97 102 123 136 142 164 194 204 213 246 272 284 291 328 388 408 426 492 568 582 656 697 776 816 852 984 1136 1164 1207 1394 1552 1649 1704 1968 2091 2328 2414 2788 2911 3298 3408 3621 3977 4182 4656 4828 4947 5576 5822 6596 6887 7242 7954 8364 8733 9656 9894 11152 11644 11931 13192 13774 14484 15908 16728 17466 19312 19788 20661 23288 23862 26384 27548 28968 31816 33456 34932 39576 41322 46576 47724 49487 55096 57936 63632 67609 69864 79152 82644 95448 98974 110192 117079 135218 139728 148461 165288 190896 197948 202827 234158 270436 282367 296922 330576 351237 395896 405654 468316 540872 564734 593844 702474 791792 811308 847101 936632 1081744 1129468 1187688 1404948 1622616 1694202 1873264 2258936 2375376 2809896 3245232 3388404 4517872 4800239 5619792 6776808 9600478 13553616 14400717 19200956 28801434 38401912 57602868 76803824 115205736 230411472