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2230234200 = 2332523733487
BaseRepresentation
bin1000010011101110…
…1010110001011000
312202102120122011200
42010323222301120
514031414443300
61005145354200
7106160451345
oct20473526130
95672518150
102230234200
11a449aaa67
12522a98960
1329708910c
141722ab7cc
15d0be0200
hex84eeac58

2230234200 has 144 divisors (see below), whose sum is σ = 7692528480. Its totient is φ = 578638080.

The previous prime is 2230234189. The next prime is 2230234207. The reversal of 2230234200 is 24320322.

2230234200 is a `hidden beast` number, since 2 + 230 + 234 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230234207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49857 + ... + 83343.

Almost surely, 22230234200 is an apocalyptic number.

2230234200 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 2230234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846264240).

2230234200 is an abundant number, since it is smaller than the sum of its proper divisors (5462294280).

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

2230234200 is a wasteful number, since it uses less digits than its factorization.

2230234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33546 (or 33534 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2230234200 is about 47225.3554777516. The cubic root of 2230234200 is about 1306.5222910153.

Adding to 2230234200 its reverse (24320322), we get a palindrome (2254554522).

The spelling of 2230234200 in words is "two billion, two hundred thirty million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 33487 66600 66974 100461 133948 167435 200922 267896 301383 334870 401844 502305 602766 669740 803688 837175 1004610 1205532 1239019 1339480 1506915 1674350 2009220 2411064 2478038 2511525 3013830 3348700 3717057 4018440 4956076 5023050 6027660 6195095 6697400 7434114 7534575 9912152 10046100 11151171 12055320 12390190 14868228 15069150 18585285 20092200 22302342 24780380 29736456 30138300 30975475 37170570 44604684 49560760 55755855 60276600 61950950 74341140 89209368 92926425 111511710 123901900 148682280 185852850 223023420 247803800 278779275 371705700 446046840 557558550 743411400 1115117100 2230234200