Search a number
-
+
23120230320 = 24325112919221
BaseRepresentation
bin10101100010000100…
…101011011110110000
32012200021210101120200
4111202010223132300
5334322234332240
614342110435200
71445640500205
oct254204533660
965607711520
1023120230320
119894849270
124592b02b00
132245c66b75
141194867cac
15904b5d930
hex56212b7b0

23120230320 has 120 divisors (see below), whose sum is σ = 84704145552. Its totient is φ = 5604902400.

The previous prime is 23120230307. The next prime is 23120230321. The reversal of 23120230320 is 2303202132.

It is a happy number.

23120230320 is a `hidden beast` number, since 2 + 312 + 0 + 2 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 23120230293 and 23120230302.

It is not an unprimeable number, because it can be changed into a prime (23120230321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451691 + ... + 1467530.

Almost surely, 223120230320 is an apocalyptic number.

23120230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23120230320 is an abundant number, since it is smaller than the sum of its proper divisors (61583915232).

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

23120230320 is a wasteful number, since it uses less digits than its factorization.

23120230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919251 (or 2919242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23120230320 its reverse (2303202132), we get a palindrome (25423432452).

The spelling of 23120230320 in words is "twenty-three billion, one hundred twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 2919221 5838442 8757663 11676884 14596105 17515326 23353768 26272989 29192210 32111431 35030652 43788315 46707536 52545978 58384420 64222862 70061304 87576630 96334293 105091956 116768840 128445724 131364945 140122608 160557155 175153260 192668586 210183912 233537680 256891448 262729890 289002879 321114310 350306520 385337172 420367824 481671465 513782896 525459780 578005758 642228620 700613040 770674344 963342930 1050919560 1156011516 1284457240 1445014395 1541348688 1926685860 2101839120 2312023032 2568914480 2890028790 3853371720 4624046064 5780057580 7706743440 11560115160 23120230320