Search a number
-
+
2333422000 = 245371312821
BaseRepresentation
bin1000101100010101…
…0011000110110000
320000121202010020001
42023011103012300
514234324001000
61023313155344
7111552521410
oct21305230660
96017663201
102333422000
11a98179538
1255155bb54
132b25778a0
14181c8c640
15d9cc446a
hex8b1531b0

2333422000 has 160 divisors (see below), whose sum is σ = 6944805504. Its totient is φ = 738432000.

The previous prime is 2333421953. The next prime is 2333422031. The reversal of 2333422000 is 2243332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175590 + ... + 188410.

Almost surely, 22333422000 is an apocalyptic number.

2333422000 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 2333422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472402752).

2333422000 is an abundant number, since it is smaller than the sum of its proper divisors (4611383504).

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

2333422000 is a wasteful number, since it uses less digits than its factorization.

2333422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12864 (or 12848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2333422000 is about 48305.5069324399. The cubic root of 2333422000 is about 1326.3692028831.

Adding to 2333422000 its reverse (2243332), we get a palindrome (2335665332).

The spelling of 2333422000 in words is "two billion, three hundred thirty-three million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 12821 13000 14000 18200 22750 25642 26000 36400 45500 51284 64105 89747 91000 102568 128210 166673 179494 182000 205136 256420 320525 333346 358988 448735 512840 641050 666692 717976 833365 897470 1025680 1166711 1282100 1333384 1435952 1602625 1666730 1794940 2243675 2333422 2564200 2666768 3205250 3333460 3589880 4166825 4487350 4666844 5128400 5833555 6410500 6666920 7179760 8333650 8974700 9333688 11218375 11667110 12821000 13333840 16667300 17949400 18667376 20834125 22436750 23334220 25642000 29167775 33334600 35898800 41668250 44873500 46668440 58335550 66669200 83336500 89747000 93336880 116671100 145838875 166673000 179494000 233342200 291677750 333346000 466684400 583355500 1166711000 2333422000