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2313023200 = 25524197727
BaseRepresentation
bin1000100111011101…
…1110111011100000
312222012100202022221
42021313132323200
514214113220300
61021304040424
7111214241605
oct21167367340
95865322287
102313023200
11a87706624
12546763114
132ab284aa7
1417d29c6ac
15d80e531a
hex89ddeee0

2313023200 has 144 divisors (see below), whose sum is σ = 5852062944. Its totient is φ = 892108800.

The previous prime is 2313023189. The next prime is 2313023201. The reversal of 2313023200 is 23203132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313023201) 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, 3181237 + ... + 3181963.

It is an arithmetic number, because the mean of its divisors is an integer number (40639326).

Almost surely, 22313023200 is an apocalyptic number.

2313023200 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 2313023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926031472).

2313023200 is an abundant number, since it is smaller than the sum of its proper divisors (3539039744).

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

2313023200 is a wasteful number, since it uses less digits than its factorization.

2313023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2313023200 is about 48093.8998210792. The cubic root of 2313023200 is about 1322.4928405386.

Adding to 2313023200 its reverse (23203132), we get a palindrome (2336226332).

The spelling of 2313023200 in words is "two billion, three hundred thirteen million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 97 100 160 164 194 200 205 328 388 400 410 485 656 727 776 800 820 970 1025 1312 1454 1552 1640 1940 2050 2425 2908 3104 3280 3635 3880 3977 4100 4850 5816 6560 7270 7760 7954 8200 9700 11632 14540 15520 15908 16400 18175 19400 19885 23264 29080 29807 31816 32800 36350 38800 39770 58160 59614 63632 70519 72700 77600 79540 99425 116320 119228 127264 141038 145400 149035 159080 198850 238456 282076 290800 298070 318160 352595 397700 476912 564152 581600 596140 636320 705190 745175 795400 953824 1128304 1192280 1410380 1490350 1590800 1762975 2256608 2384560 2820760 2891279 2980700 3181600 3525950 4769120 5641520 5782558 5961400 7051900 11283040 11565116 11922800 14103800 14456395 23130232 23845600 28207600 28912790 46260464 56415200 57825580 72281975 92520928 115651160 144563950 231302320 289127900 462604640 578255800 1156511600 2313023200