Search a number
-
+
33023054000 = 2453294313241
BaseRepresentation
bin11110110000010100…
…111101000010110000
310011020102200221212002
4132300110331002300
51020112400212000
623100502353132
72246225220236
oct366024750260
9104212627762
1033023054000
1113006720272
12649742b7a8
13316378bb51
141853b32956
15cd42238d5
hex7b053d0b0

33023054000 has 160 divisors (see below), whose sum is σ = 84530571840. Its totient is φ = 12456192000.

The previous prime is 33023053997. The next prime is 33023054003. The reversal of 33023054000 is 45032033.

It is an interprime number because it is at equal distance from previous prime (33023053997) and next prime (33023054003).

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

It is not an unprimeable number, because it can be changed into a prime (33023054003) 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, 2487380 + ... + 2500620.

It is an arithmetic number, because the mean of its divisors is an integer number (528316074).

Almost surely, 233023054000 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 33023054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42265285920).

33023054000 is an abundant number, since it is smaller than the sum of its proper divisors (51507517840).

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

33023054000 is a wasteful number, since it uses less digits than its factorization.

33023054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

Adding to 33023054000 its reverse (45032033), we get a palindrome (33068086033).

The spelling of 33023054000 in words is "thirty-three billion, twenty-three million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 43 50 58 80 86 100 116 125 145 172 200 215 232 250 290 344 400 430 464 500 580 688 725 860 1000 1075 1160 1247 1450 1720 2000 2150 2320 2494 2900 3440 3625 4300 4988 5375 5800 6235 7250 8600 9976 10750 11600 12470 13241 14500 17200 19952 21500 24940 26482 29000 31175 43000 49880 52964 58000 62350 66205 86000 99760 105928 124700 132410 155875 211856 249400 264820 311750 331025 383989 498800 529640 569363 623500 662050 767978 1059280 1138726 1247000 1324100 1535956 1655125 1919945 2277452 2494000 2648200 2846815 3071912 3310250 3839890 4554904 5296400 5693630 6143824 6620500 7679780 9109808 9599725 11387260 13241000 14234075 15359560 16511527 19199450 22774520 26482000 28468150 30719120 33023054 38398900 45549040 47998625 56936300 66046108 71170375 76797800 82557635 95997250 113872600 132092216 142340750 153595600 165115270 191994500 227745200 264184432 284681500 330230540 383989000 412788175 569363000 660461080 767978000 825576350 1138726000 1320922160 1651152700 2063940875 3302305400 4127881750 6604610800 8255763500 16511527000 33023054000