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23214330300 = 22352785712899
BaseRepresentation
bin10101100111101011…
…101001000110111100
32012220211212011111010
4111213223221012330
5340020332032200
614355311355220
71451162360160
oct254753510674
965824764433
1023214330300
11993297aa47
1245ba522b10
13225c5c3025
1411a3160ca0
1590d04a150
hex567ae91bc

23214330300 has 144 divisors (see below), whose sum is σ = 76857580800. Its totient is φ = 5299530240.

The previous prime is 23214330299. The next prime is 23214330301. The reversal of 23214330300 is 303341232.

It is an interprime number because it is at equal distance from previous prime (23214330299) and next prime (23214330301).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214330301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793251 + ... + 1806149.

It is an arithmetic number, because the mean of its divisors is an integer number (533733200).

Almost surely, 223214330300 is an apocalyptic number.

23214330300 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 23214330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38428790400).

23214330300 is an abundant number, since it is smaller than the sum of its proper divisors (53643250500).

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

23214330300 is a wasteful number, since it uses less digits than its factorization.

23214330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13780 (or 13773 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 23214330300 its reverse (303341232), we get a palindrome (23517671532).

The spelling of 23214330300 in words is "twenty-three billion, two hundred fourteen million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 857 1050 1714 2100 2571 3428 4285 5142 5999 8570 10284 11998 12855 12899 17140 17997 21425 23996 25710 25798 29995 35994 38697 42850 51420 51596 59990 64275 64495 71988 77394 85700 89985 90293 119980 128550 128990 149975 154788 179970 180586 193485 257100 257980 270879 299950 322475 359940 361172 386970 449925 451465 541758 599900 644950 773940 899850 902930 967425 1083516 1289900 1354395 1799700 1805860 1934850 2257325 2708790 3869700 4514650 5417580 6771975 9029300 11054443 13543950 22108886 27087900 33163329 44217772 55272215 66326658 77381101 110544430 132653316 154762202 165816645 221088860 232143303 276361075 309524404 331633290 386905505 464286606 552722150 663266580 773811010 829083225 928573212 1105444300 1160716515 1547622020 1658166450 1934527525 2321433030 3316332900 3869055050 4642866060 5803582575 7738110100 11607165150 23214330300