Search a number
-
+
2232003000 = 233533132377
BaseRepresentation
bin1000010100001001…
…1010100110111000
312202112220111111210
42011002122212320
514032343044000
61005251323120
7106211466243
oct20502324670
95675814453
102232003000
11a459a8987
125235b04a0
13297558246
1417260c25a
15d0e3e350
hex8509a9b8

2232003000 has 128 divisors (see below), whose sum is σ = 6989037120. Its totient is φ = 593049600.

The previous prime is 2232002999. The next prime is 2232003001. The reversal of 2232003000 is 3002322.

It is an interprime number because it is at equal distance from previous prime (2232002999) and next prime (2232003001).

It is a super-3 number, since 3×22320030003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232003001) by changing a digit.

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, 937812 + ... + 940188.

Almost surely, 22232003000 is an apocalyptic number.

2232003000 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 2232003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494518560).

2232003000 is an abundant number, since it is smaller than the sum of its proper divisors (4757034120).

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

2232003000 is a wasteful number, since it uses less digits than its factorization.

2232003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2232003000 is about 47244.0789940919. The cubic root of 2232003000 is about 1306.8676009311.

Adding to 2232003000 its reverse (3002322), we get a palindrome (2235005322).

The spelling of 2232003000 in words is "two billion, two hundred thirty-two million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 313 375 500 600 626 750 939 1000 1252 1500 1565 1878 2377 2504 3000 3130 3756 4695 4754 6260 7131 7512 7825 9390 9508 11885 12520 14262 15650 18780 19016 23475 23770 28524 31300 35655 37560 39125 46950 47540 57048 59425 62600 71310 78250 93900 95080 117375 118850 142620 156500 178275 187800 234750 237700 285240 297125 313000 356550 469500 475400 594250 713100 744001 891375 939000 1188500 1426200 1488002 1782750 2232003 2377000 2976004 3565500 3720005 4464006 5952008 7131000 7440010 8928012 11160015 14880020 17856024 18600025 22320030 29760040 37200050 44640060 55800075 74400100 89280120 93000125 111600150 148800200 186000250 223200300 279000375 372000500 446400600 558000750 744001000 1116001500 2232003000