Search a number
-
+
330234021200 = 24525917978173
BaseRepresentation
bin1001100111000110111…
…10110100010101010000
31011120101120120102212002
410303203132310111100
520402304402134300
6411412445053132
732600335602626
oct4634336642520
91146346512762
10330234021200
1111806254a986
12540028571a8
13251aa830395
1411daa6a7516
1588cbb125d5
hex4ce37b4550

330234021200 has 120 divisors (see below), whose sum is σ = 811352311200. Its totient is φ = 129127636480.

The previous prime is 330234021193. The next prime is 330234021233. The reversal of 330234021200 is 2120432033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4185314 + ... + 4263486.

It is an arithmetic number, because the mean of its divisors is an integer number (6761269260).

Almost surely, 2330234021200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330234021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405676155600).

330234021200 is an abundant number, since it is smaller than the sum of its proper divisors (481118290000).

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

330234021200 is a wasteful number, since it uses less digits than its factorization.

330234021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78429 (or 78418 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 330234021200 its reverse (2120432033), we get a palindrome (332354453233).

The spelling of 330234021200 in words is "three hundred thirty billion, two hundred thirty-four million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 179 200 236 295 358 400 472 590 716 895 944 1180 1432 1475 1790 2360 2864 2950 3580 4475 4720 5900 7160 8950 10561 11800 14320 17900 21122 23600 35800 42244 52805 71600 78173 84488 105610 156346 168976 211220 264025 312692 390865 422440 528050 625384 781730 844880 1056100 1250768 1563460 1954325 2112200 3126920 3908650 4224400 4612207 6253840 7817300 9224414 13992967 15634600 18448828 23061035 27985934 31269200 36897656 46122070 55971868 69964835 73795312 92244140 111943736 115305175 139929670 184488280 223887472 230610350 279859340 349824175 368976560 461220700 559718680 699648350 825585053 922441400 1119437360 1399296700 1651170106 1844882800 2798593400 3302340212 4127925265 5597186800 6604680424 8255850530 13209360848 16511701060 20639626325 33023402120 41279252650 66046804240 82558505300 165117010600 330234021200