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2233040000 = 2754103271
BaseRepresentation
bin1000010100011001…
…0111110010000000
312202121212012000012
42011012113302000
514033124240000
61005325444052
7106223345462
oct20506276200
95677765005
102233040000
11a46547004
12523a10628
1329782c259
141727dc132
15d1096735
hex85197c80

2233040000 has 160 divisors (see below), whose sum is σ = 5633696640. Its totient is φ = 881280000.

The previous prime is 2233039973. The next prime is 2233040003. The reversal of 2233040000 is 403322.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2233040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8239865 + ... + 8240135.

It is an arithmetic number, because the mean of its divisors is an integer number (35210604).

Almost surely, 22233040000 is an apocalyptic number.

2233040000 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 2233040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816848320).

2233040000 is an abundant number, since it is smaller than the sum of its proper divisors (3400656640).

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

2233040000 is an equidigital number, since it uses as much as digits as its factorization.

2233040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2233040000 is about 47255.0526399030. The cubic root of 2233040000 is about 1307.0699620503.

Adding to 2233040000 its reverse (403322), we get a palindrome (2233443322).

The spelling of 2233040000 in words is "two billion, two hundred thirty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 128 160 200 206 250 271 320 400 412 500 515 542 625 640 800 824 1000 1030 1084 1250 1355 1600 1648 2000 2060 2168 2500 2575 2710 3200 3296 4000 4120 4336 5000 5150 5420 6592 6775 8000 8240 8672 10000 10300 10840 12875 13184 13550 16000 16480 17344 20000 20600 21680 25750 27100 27913 32960 33875 34688 40000 41200 43360 51500 54200 55826 64375 65920 67750 80000 82400 86720 103000 108400 111652 128750 135500 139565 164800 169375 173440 206000 216800 223304 257500 271000 279130 329600 338750 412000 433600 446608 515000 542000 558260 677500 697825 824000 867200 893216 1030000 1084000 1116520 1355000 1395650 1648000 1786432 2060000 2168000 2233040 2710000 2791300 3489125 3572864 4120000 4336000 4466080 5420000 5582600 6978250 8240000 8932160 10840000 11165200 13956500 17445625 17864320 21680000 22330400 27913000 34891250 44660800 55826000 69782500 89321600 111652000 139565000 223304000 279130000 446608000 558260000 1116520000 2233040000