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2243142200 = 2352131914517
BaseRepresentation
bin1000010110110011…
…1010001000111000
312210022212102121202
42011230322020320
514043221022300
61010330153332
7106405252115
oct20554721070
95708772552
102243142200
11a51216a32
12527282848
132999584a0
14173cab90c
15d1ddead5
hex85b3a238

2243142200 has 96 divisors (see below), whose sum is σ = 5647138560. Its totient is φ = 823718400.

The previous prime is 2243142191. The next prime is 2243142217. The reversal of 2243142200 is 22413422.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494342 + ... + 498858.

It is an arithmetic number, because the mean of its divisors is an integer number (58824360).

Almost surely, 22243142200 is an apocalyptic number.

2243142200 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 2243142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823569280).

2243142200 is an abundant number, since it is smaller than the sum of its proper divisors (3403996360).

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

2243142200 is a wasteful number, since it uses less digits than its factorization.

2243142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2243142200 is about 47361.8221777837. The cubic root of 2243142200 is about 1309.0380444479.

Adding to 2243142200 its reverse (22413422), we get a palindrome (2265555622).

The spelling of 2243142200 in words is "two billion, two hundred forty-three million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 191 200 260 325 382 520 650 764 955 1300 1528 1910 2483 2600 3820 4517 4775 4966 7640 9034 9550 9932 12415 18068 19100 19864 22585 24830 36136 38200 45170 49660 58721 62075 90340 99320 112925 117442 124150 180680 225850 234884 248300 293605 451700 469768 496600 587210 862747 903400 1174420 1468025 1725494 2348840 2936050 3450988 4313735 5872100 6901976 8627470 11215711 11744200 17254940 21568675 22431422 34509880 43137350 44862844 56078555 86274700 89725688 112157110 172549400 224314220 280392775 448628440 560785550 1121571100 2243142200