Search a number
-
+
2231203200 = 27352232417
BaseRepresentation
bin1000010011111101…
…0111010110000000
312202111101212101120
42010333113112000
514032142000300
61005222232240
7106201625412
oct20477272600
95674355346
102231203200
11a45501a96
12523285680
132973381a5
141724809b2
15d0d323a0
hex84fd7580

2231203200 has 96 divisors (see below), whose sum is σ = 7349057160. Its totient is φ = 594984960.

The previous prime is 2231203157. The next prime is 2231203213. The reversal of 2231203200 is 23021322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22312032003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231203200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106609 + ... + 125808.

Almost surely, 22231203200 is an apocalyptic number.

2231203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231203200 is an abundant number, since it is smaller than the sum of its proper divisors (5117853960).

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

2231203200 is a wasteful number, since it uses less digits than its factorization.

2231203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232444 (or 232427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2231203200 is about 47235.6136828982. The cubic root of 2231203200 is about 1306.7114844177.

Adding to 2231203200 its reverse (23021322), we get a palindrome (2254224522).

The spelling of 2231203200 in words is "two billion, two hundred thirty-one million, two hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 232417 464834 697251 929668 1162085 1394502 1859336 2324170 2789004 3486255 3718672 4648340 5578008 5810425 6972510 7437344 9296680 11156016 11620850 13945020 14874688 17431275 18593360 22312032 23241700 27890040 29749376 34862550 37186720 44624064 46483400 55780080 69725100 74373440 89248128 92966800 111560160 139450200 148746880 185933600 223120320 278900400 371867200 446240640 557800800 743734400 1115601600 2231203200