Search a number
-
+
2320330233300 = 22352239312110369
BaseRepresentation
bin100001110000111110011…
…101011001010111010100
322012211011210200201212220
4201300332131121113110
5301004014014431200
64533540041342340
7326431642363542
oct41607635312724
98184153621786
102320330233300
11815056a20292
12315841a979b0
1313aa632c2911
1480439abad92
15405553d94a0
hex21c3e7595d4

2320330233300 has 144 divisors (see below), whose sum is σ = 6744389164800. Its totient is φ = 615908966400.

The previous prime is 2320330233293. The next prime is 2320330233337. The reversal of 2320330233300 is 33320330232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223770516 + ... + 223780884.

Almost surely, 22320330233300 is an apocalyptic number.

2320330233300 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 2320330233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372194582400).

2320330233300 is an abundant number, since it is smaller than the sum of its proper divisors (4424058931500).

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

2320330233300 is a wasteful number, since it uses less digits than its factorization.

2320330233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 2320330233300 its reverse (33320330232), we get a palindrome (2353650563532).

The spelling of 2320330233300 in words is "two trillion, three hundred twenty billion, three hundred thirty million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 239 300 478 717 956 1195 1434 2390 2868 3121 3585 4780 5975 6242 7170 9363 10369 11950 12484 14340 15605 17925 18726 20738 23900 31107 31210 35850 37452 41476 46815 51845 62214 62420 71700 78025 93630 103690 124428 155535 156050 187260 207380 234075 259225 311070 312100 468150 518450 622140 745919 777675 936300 1036900 1491838 1555350 2237757 2478191 2983676 3110700 3729595 4475514 4956382 7434573 7459190 8951028 9912764 11188785 12390955 14869146 14918380 18647975 22377570 24781910 29738292 32361649 37172865 37295950 44755140 49563820 55943925 61954775 64723298 74345730 74591900 97084947 111887850 123909550 129446596 148691460 161808245 185864325 194169894 223775700 247819100 323616490 371728650 388339788 485424735 647232980 743457300 809041225 970849470 1618082450 1941698940 2427123675 3236164900 4854247350 7734434111 9708494700 15468868222 23203302333 30937736444 38672170555 46406604666 77344341110 92813209332 116016511665 154688682220 193360852775 232033023330 386721705550 464066046660 580082558325 773443411100 1160165116650 2320330233300