Search a number
-
+
2328896880 = 243351956747
BaseRepresentation
bin1000101011010000…
…0010010101110000
320000022020012221000
42022310002111300
514232144200010
61023032202000
7111466203552
oct21264022560
96008205830
102328896880
11a95668772
1254bb39300
132b1651cbb
141814314d2
15d96cd7c0
hex8ad02570

2328896880 has 160 divisors (see below), whose sum is σ = 8444102400. Its totient is φ = 588342528.

The previous prime is 2328896879. The next prime is 2328896887. The reversal of 2328896880 is 886988232.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328896887) 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, 12667 + ... + 69413.

It is an arithmetic number, because the mean of its divisors is an integer number (52775640).

Almost surely, 22328896880 is an apocalyptic number.

2328896880 is a gapful number since it is divisible by the number (20) 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 2328896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222051200).

2328896880 is an abundant number, since it is smaller than the sum of its proper divisors (6115205520).

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

2328896880 is a wasteful number, since it uses less digits than its factorization.

2328896880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56788 (or 56776 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2328896880 is about 48258.6456502874. The cubic root of 2328896880 is about 1325.5112549423.

The spelling of 2328896880 in words is "two billion, three hundred twenty-eight million, eight hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 56747 113494 170241 226988 283735 340482 453976 510723 567470 680964 851205 907952 1021446 1078193 1134940 1361928 1532169 1702410 2042892 2156386 2269880 2553615 2723856 3064338 3234579 3404820 4085784 4312772 4539760 5107230 5390965 6128676 6469158 6809640 7660845 8171568 8625544 9703737 10214460 10781930 12257352 12938316 13619280 15321690 16172895 17251088 19407474 20428920 21563860 24514704 25876632 29111211 30643380 32345790 38814948 40857840 43127720 48518685 51753264 58222422 61286760 64691580 77629896 86255440 97037370 116444844 122573520 129383160 145556055 155259792 194074740 232889688 258766320 291112110 388149480 465779376 582224220 776298960 1164448440 2328896880